compositions of functions 19 videos
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Composition of Functions
Algebra 2 Functions
How to calculate the composition of functions.
composition f(g(x)) -
Proving Two Functions are Inverses
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to use algebra to show that two functions are inverses.
proving inverses composition -
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Step Functions
Algebra 2 Additional Topics
How to define the greatest integer function.
greatest integer function -
Introduction to Functions
Algebra 2 Functions
How to define a function.
function dependent variable independent variable -
Exponential Functions and their Graphs
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to define an exponential function.
exponential function power function base exponent -
Piecewise Functions
Algebra 2 Additional Topics
How to define a piecewise function.
absolute value absolute value graph piecewise function domain restriction -
Definition of One-to-One Functions
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to define a one-to-one function.
one to one function -
Polynomial Function
Algebra 2 Polynomials
How to evaluate a polynomial in function notation.
function notation f(x) polynomial constant linear quadratic cubic -
Function Notation with Logs and Exponentials
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to use function notation to solve log equations.
function notation solving log equations -
Graph of Logarithmic Functions
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to find the graph of a logarithmic equation with a base greater than one.
log graph logarithmic graphs inverse graphically domain range asymptote -
Graphing a Rational Expression
Algebra 2 Rational Expressions and Functions
How to graph a basic rational equation.
functions function notation difference quotient expanding binomials -
Deriving the Quadratic Formula
Algebra 2 Quadratic Equations and Inequalities
How to derive the quadratic formula by completing the square.
functions domain parent functions inequalities interval notation -
Vocabulary of Quadratic Polynomials
Algebra 2 Quadratic Equations and Inequalities
How to label the roots of a quadratic polynomial, solutions to a quadratic equation, and x-intercepts or roots of a quadratic function.
roots x intercepts solutions excluded values zeros function -
Solving Exponential Equations with the Different Bases
Algebra 2 Inverse, Exponential and Logarithmic Functions
Solving an exponential equation by taking the log of both sides.
exponential function log of both sides -
Finding an Inverse Algebraically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to find the inverse of a function algebraically
finding an inverse one to one switch x and y -
Using Synthetic Division to Evaluate Polynomials
Algebra 2 Polynomials
How to use synthetic division to evaluate a function.
evaluating polynomials synthetic division -
Finding an Inverse Graphically
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to graph the inverse of a function using points.
finding an inverse graphically switch x and y flip over y=x -
Introduction to Logarithms
Algebra 2 Inverse, Exponential and Logarithmic Functions
How to use inverses to define the logarithmic function.
logarithms inverse base exponent logarithmic form exponential form