New Algebra Playlist - Functions, Vertical Line Test, Ordered Pairs, Tables, Domain and Range

Basic studies, Trigonometry

New Algebra Playlist

658 Lessons

Functions, Vertical Line Test, Ordered Pairs, Tables, Domain and Range

This math video focuses on functions. It explains how to tell if a relation is a function given a set of ordered pairs or a data table. In addition, it explains how to use the vertical line test to determine if a graph or curve is a function based on if it touches the line at two or more points. Finally, this video discusses the domain and range of functions briefly.

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    2 variables 3 points 3 variables Absolute Value Absolute Value Equations absolute value functions absolute value inequalities absolute value of complex numbers add Adding adding and subtracting complex numbers adding and subtracting fractions adding and subtracting integers adding and subtracting negative and positive numbers adding and subtracting radical expressions adding and subtracting rational expressions adding and subtracting rational expressions with unlike denominators adding and subtractiong rational expressions with the same denominator adding complex numbers Adding Fractions adding functions adding radical expressions adding rational expressions adding three fractions addition addition and subtraction algebra algebra 2 algebraic expressions arithmetic arithmetic mean arithmetic mean and geometric mean arithmetic sequence arithmetic sequences arithmetic series Asymptotes axis of symmetry bacterial growth bacterial growth problems base 10 basic arithmetic basic introduction basic math basics Binomials box and whisker plots center change of base change of base formula change of base formula logarithms checking for extraneous solutions chemistry circles College College Algebra common difference common ration Completing the Square complex expressions complex fractions Complex Numbers complex rational expressions composite functions Compound Inequalities compound interest compound interest formula compound interest problems compounded continuously condensing logarithmic expressions conic sections consistent and incosistent converges coordinate plane coordinate system cross multiplication cube root cube roots cube roots and square roots cumulative relative frequency dashed line Data data table data tables decimal decimals decimals to fractions degree degree of a polynomial denominator dependent and independent determine if function is even odd or neither determine whether f is even odd or neither different index numbers directrix Discriminant diverges dividing dividing complex numbers dividing complex numbers in standard form dividing complex numbers with radicals dividing complex numbers with square roots dividing exponents dividing expressions dividing fractions dividing functions dividing polynomials dividing polynomials by binomials dividing polynomials by monomials dividing polynomials long division dividing radical expressions dividing rational expressions dividing rational expressions with fractions dividing rational expressions with variables and exponents division domain domain and range domain and range of a graph domain and range of a relation domain and range of rational functions domain of a radical function domain of a square root function domain of radical function domain of square root function dot plots elimination Ellipse ellipse equation ellipse precalculus ellipses ellipses algebra 2 ellipses foci ellipses precalculus equations evaluating composite functions evaluating exponential expressions evaluating expressions evaluating functions evaluating functions algebra 2 evaluating functions f(x) evaluating logarithmic expressions evaluating logarithmic expressions without a calculator evaluating natural logarithmic expressions Even even functions even odd functions even odd or neither functions even odd or neither functions algebraically even odd or neither functions graphs even odd properties even or odd functions examples expanding logarithmic expressions expanding logarithmic expressions with square roots exponential equations exponential expressions exponential form exponential functions exponential growth and decay exponential growth and decay word problems Exponents factor factored form factoring factoring binomials factoring perfect square trinomials factoring polynomials factoring sums and differences of cubes factoring the greatest common factor factoring trinomials factoring trinomials ax2+bx+c factoring trinomials by grouping factoring trinomials with leading coefficient not 1 find the equation of a line find the equation of a line given two points find the slope of a line from an equation find the slope of a line given two points finding quadratic equation finding quadratic equation from graph finding slope finding slope given 2 points finding the nth term finding the nth term of a sequence finding the nth term of an arithmetic sequence finding the slope of a line first four terms first four terms of a sequence foci focus for kids formula Fractional Exponents fractional exponents and radicals fractions fractions adding and subtracting fractions multiplying and dividing fractions to decimals frequency distribution table frequency tables function notation function notation and evaluating functions function notation example function notation f(x) function notation in algebra function notation introduction function operations function tables functions Functions and Relations functions math general equation general formula geometric mean geometric sequence geometric sequences Geometric Series given a point and the slope given the slope and a point given two points graph graphing graphing absolute value functions graphing advanced rational functions graphing circles graphing circles in standard form graphing complex numbers graphing cube root functions graphing cube roots graphing ellipses graphing ellipses equations graphing ellipses examples graphing ellipses foci graphing ellipses in standard form graphing ellipses not in standard form graphing equations graphing equations in point slope form graphing equations in slope intercept form graphing equations in standard form graphing exponential functions graphing exponential functions using transformations graphing functions graphing horizontal and vertical lines graphing horizontal lines graphing hyperbolas in standard form graphing hyperbolas with asymptotes graphing imaginary numbers graphing inequalities graphing inequalities on a number line. graphing inverse functions Graphing Linear Equations graphing linear equations in point slope form graphing linear equations in slope intercept form graphing linear equations in standard form Graphing Linear Inequalities graphing linear inequalities in two variables graphing logarithmic functions graphing logarithmic functions using transformations graphing natural logarithmic functions graphing ordered pairs graphing parabolas graphing points graphing quadratic functions graphing quadratic functions in standard form graphing quadratic functions in vertex form graphing quadratic functions using a data table graphing quadratic functions using transformations graphing radical equations graphing radical functions graphing radical functions and domain and range graphing radical functions using transformations graphing radicals graphing rational functions graphing rational functions using transformations graphing rational functions with asymptotes graphing rational functions with asymptotes and holes graphing rational functions with vertical and horizontal asymptotes graphing systems of linear inequalities graphing systems of linear inequalities in two variables graphing transformations graphing vertical lines graphs greek alphabet half life problems Histograms Horizontal horizontal asymptote horizontal asymptotes horizontal asymptotes of rational functions horizontal line test horizontal lines Horizontal Shift how to add complex numbers how to add fractions how to add large numbers how to add radical expressions how to add rational expressions how to convert decimals to fractions how to convert fractions to decimals how to convert improper fractions to decimals how to convert mixed fractions to decimals how to convert mixed numbers to decimals how to convert mixed numbers to improper fractions how to determine if an ordered pair is a solution how to determine the discriminant of a quadratic equation how to divide complex numbers how to divide fractions how to divide rational expressions how to evaluate logarithmic expressions how to evaluate logarithmic expressions without a calculator how to factor how to factor by grouping how to factor difficult quadratic equations how to factor quadratic equations how to find the domain of a function how to find the domain of a radical function how to find the inverse function how to find the slope between two points how to get straight A's how to get straight A's in college how to get straight A's in high school how to get straight A's in middle school how to get straight A's in school how to graph absolute value functions how to graph an ellipse not in standard form how to graph circles how to graph compound inequalities how to graph ellipses how to graph equations how to graph equations in point slope form how to graph equations in slope intercept form how to graph equations in standard form how to graph exponential functions how to graph horizontal and vertical lines how to graph horizontal lines how to graph hyperbolas how to graph inequalities on a number line how to graph linear equations how to graph linear equations in point slope form how to graph linear equations in slope intercept form how to graph linear equations in standard form how to graph linear inequalities how to graph linear inequalities in two variables how to graph logarithmic functions how to graph natural logarithmic functions how to graph parabolas how to graph parabolas in standard form how to graph parabolas with focus and directrix how to graph vertical lines how to multiply fractions how to multiply radical expressions how to multiply radical expressions with different index numbers how to multiply radicals how to multiply rational expressions how to simplify complex fractions how to simplify radicals how to solve absolute value equations how to solve absolute value inequalities how to solve equations how to solve equations with complex numbers how to solve equations with fractions how to solve equations with parentheses how to solve equations with parentheses on both sides how to solve equations with variables how to solve equations with variables on both sides how to solve inequalities how to solve inequalities with fractions how to solve linear equations how to solve linear equations with decimals how to solve linear equations with fractions how to solve linear equations with fractions using cross multiplication how to solve linear equations with parentheses how to solve linear equations with parentheses on both sides how to solve linear equations with variables how to solve linear equations with variables on both sides how to solve linear inequalities how to solve logarithmic equations how to solve quadratic equations how to solve radical equations how to solve radical equations with radicals on both sides how to solve rational equations how to solve simple quadratic equations how to subtract complex numbers how to subtract fractions how to subtract large numbers how to subtract radical expressions how to subtract rational expressions how to tell if two lines are parallel perpendicular or neither how to write equation of an ellipse how to write equations how to write equations given one point and the slope how to write equations of circles how to write equations of parallel lines how to write equations of perpendicular lines how to write linear equations how to write linear equations given one point and the slope how to write linear equations of parallel lines how to write linear equations of perpendicular lines how to write the equation of a parabola hyperbolas hyperbolas asymptotes hyperbolas conic sections identify ordered pairs imagainary numbers imaginary numbers imaginary solutions improper fractions improper fractions to decimals index numbers Inequalities inequality Infinite Solutions Infinite sum infinite sum of geometric series infinitely many solutions integers intercept interquartile range Interval Notation Introduction introduction to exponents inverse functions inverses Investment leading coefficient leading coefficient of a polynomial leading term least common denominator like denominators line linear equations Linear Inequalities Lines logarithmic equations logarithmic expressions logarithmic form logarithmic form to exponential form logarithmic functions logarithms logarithms algebra 2 logarithms base 10 logarithms basics logarithms explained logarithms introduction logarithms precalculus logarithms with fractions logs long division long division big numbers long division easy long division examples long division explained long division for 3rd grade long division for 4th grade long division for kids long division large numbers long division made easy Long Division of Polynomials long division of polynomials made easy long division of polynomials with missing terms long division of polynomials with remainder long division video long division with 2 digit divisors long division with remainders long division youtube made easy major axis major vertices many solutions Math math tricks mathematics maximizing profit maximum height maximum value maximum value of a function maximum value of a quadratic equation Mean median mental math mental math addition mental math division mental math multiplication mental math secrets mental math subtraction mental math tricks minimum value minimum value of a function minor axis minor vertices missing coordinates missing terms mixed fractions mixed fractions to decimals mixed numbers mixed numbers to decimals mixed numbers to improper fractions MODE monomials monomials binomials and trinomials multiple choice multiplication multiplying multiplying and dividing fractions multiplying complex numbers multiplying complex numbers by its conjugate multiplying complex numbers with exponents multiplying complex numbers with radicals multiplying complex numbers with square roots multiplying exponents multiplying fractions multiplying functions multiplying imaginary numbers multiplying radical expressions multiplying radical expressions with different index numbers multiplying radical expressions with variables and exponents multiplying radicals multiplying radicals with different index numbers multiplying rational expressions multiplying two monomials Multivariable Functions natural base e natural logarithmic expressions natural logarithmic functions natural logarithms natural logs negative exponent rule Negative Exponents negative exponents in fractions negative exponents with parentheses negative exponents with variables negative fractional exponents negative numbers neither No Solution nth term number line Numbers Numerator odd functions one point one solution one to one functions operation with functions order of operations order of operations pemdas order of operations with exponents and parentheses order of operations with fractions ordered pairs organic chemistry tutor outliers parabola parabolas parallel parallel and perpendicular lines Parallel lines parallel perpendicular or neither parallel to a given line parentheses partial sum partial sum of a geometric series partial sum of arithmetic sequence partial sum of geometric series percent percentage percentages percentages basics percentages easy tricks percentages explained percentages made easy percentages of whole numbers percentages shortcuts and tricks percentages tutorial percentages videos percentile perpendicular perpendicular lines perpendicular to a given line physics plotting complex numbers plotting ordered pairs Plotting Points plotting points on a coordinate plane plotting points on a graph point point slope form points polynomials population growth population growth problems positive numbers power rule for exponents practice practice problems pre-algebra prealgebra Precalculus problems product rule for exponents profit Projectile Motion properties properties of exponents properties of logarithmic functions properties of logarithms properties of negative exponents quadratic quadratic equations quadratic form Quadratic Formula Quadratic Functions quadratic inequalities quartiles quiz quotient rule for exponents radical equations radical expressions radical functions radicals radius range rational equations rational exponents rational expressions rational functions rationalize the denominator rationalize the denominator with radicals and variables real solutions recursive formulas recursive formulas for sequences recursive sequences reflection origin reflection x-axis reflection y-axis relations relations and graphs relative frequency remainder roots same denominators Sequence Sequences sigma notation sign chart simplifying simplifying algebraic expressions simplifying complex expressions simplifying complex fractions simplifying complex numbers simplifying complex rational expressions simplifying exponential expressions simplifying exponents simplifying exponents division simplifying exponents multiplication simplifying exponents with fractions simplifying exponents with negative exponents simplifying exponents with variables simplifying fractional exponents simplifying imaginary numbers simplifying negative exponents simplifying radical expressions simplifying radicals simplifying radicals with variables and exponents simplifying rational expressions simplifying rational expressions with variables and exponents single logarithm skewed left skewed right skewness slant asymptotes slant asymptotes of rational functions Slope slope fractions slope intercept method slope missing coordinates slope of a line Slope-Intercept Form solid line solution solutions solve solve inequalities solving solving absolute value equations solving absolute value inequalities solving basic equations Solving Equations solving equations by adding or subtracting solving equations by multiplying or dividing solving equations in quadratic form solving equations in quadratic form using substitution solving equations with complex numbers solving equations with fractions solving exponential equations solving exponential equations using logarithms solving exponential equations using natural logarithms solving exponential equations with different bases solving exponential equations with e solving linear equations solving linear equations with fractions solving linear equations with variables solving linear equations with variables on both sides solving linear inequalities solving logarithmic equations solving logarithmic equations with logs on both sides solving multistep equations solving quadratic equations solving quadratic equations by completing the square solving quadratic equations by factoring solving quadratic inequalities solving radical equations solving radical equations with cube roots solving radical equations with fractions solving radical equations with rational exponents solving radical equations with square roots solving radical equations with two radicals solving radical equations with variables on both sides solving rational equations solving rational equations with different denominators solving rational equations with fractions solving rational equations with fractions and variables solving systems of equations solving systems of equations by elimination solving systems of equations by graphing solving systems of equations by substitution solving systems of equations with 3 variables solving systems of equations with decimals solving systems of equations with fractions solving systems of equations word problems Square Root square root function square root functions square roots square roots and cube roots square roots of negative numbers standard form standard form to vertex form statistics stem and leaf plots straight A's substitution subtract subtracting subtracting complex numbers subtracting fractions subtracting functions subtracting radical expressions subtracting rational expressions subtracting three fractions subtraction sum sum of a finite sequence summation notation symmetry System of Equations systems Systems of Equations systems of linear inequalities table tables terms tetration three fractions total value transformations Trinomials tutorial two fractions two points Two Variables unlike denominators variables verteex vertex vertex form vertex form to standard form vertical vertical asymptote vertical asymptotes Vertical Line Test vertical line test for functions vertical lines Vertical Shift vertical stretch vertices video whole numbers with fractions with negative exponents with variables with variables and exponents without a calculator Word Problems writing equations writing equations given a point and the slope writing equations of circles writing equations of circles in standard form writing equations of ellipses writing equations of ellipses in standard form writing equations of hyperbolas writing equations of parabolas writing equations of parallel lines writing equations of perpendicular lines writing exponential equations writing exponential equations in logarithmic form writing general formula of an arithmetic sequence writing linear equations writing linear equations from a table writing linear equations given one point and the slope writing linear equations given the slope and a point writing linear equations given two points writing linear equations in point slope form writing linear equations in standard form writing linear equations of parallel lines writing linear equations of perpendicular lines writing logarithmic equations writing logarithmic equations in exponential form writing quadratic equations writing quadratic equations in standard form writing quadratic equations in vertex form writing quadratic functions writing the first four terms of a sequence x intercepts x-coordinate Y Intercept y intercepts y-coordinate YouTube zero exponents zero exponents rule