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0. Review of Algebra(0)

Algebraic Expressions
(0)

Exponents
(0)

Polynomials Intro
(0)

Multiplying Polynomials
(0)

Factoring Polynomials
(0)

Radical Expressions
(0)

Simplifying Radical Expressions
(0)

Rationalize Denominator
(0)

Rational Exponents
(0)

1. Equations & Inequalities(0)

Linear Equations
(0)

Rational Equations
(0)

The Imaginary Unit
(0)

Powers of i
(0)

Complex Numbers
(0)

Intro to Quadratic Equations
(0)

The Square Root Property
(0)

Completing the Square
(0)

The Quadratic Formula
(0)

Choosing a Method to Solve Quadratics
(0)

Linear Inequalities
(0)

2. Graphs of Equations(0)

Graphs and Coordinates
(0)

Two-Variable Equations
(0)

Lines
(0)

3. Functions(0)

Intro to Functions & Their Graphs
(0)

Common Functions
(0)

Transformations
(0)

Function Operations
(0)

Function Composition
(0)

4. Polynomial Functions(0)

Quadratic Functions
(0)

Understanding Polynomial Functions
(0)

Graphing Polynomial Functions
(0)

Dividing Polynomials
(0)

Zeros of Polynomial Functions
(0)

5. Rational Functions(0)

Introduction to Rational Functions
(0)

Asymptotes
(0)

Graphing Rational Functions
(0)

6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
(0)

Graphing Exponential Functions
(0)

The Number e
(0)

Introduction to Logarithms
(0)

Graphing Logarithmic Functions
(0)

Properties of Logarithms
(0)

Solving Exponential and Logarithmic Equations
(0)

7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
(0)

Introduction to Matrices
(0)

Determinants and Cramer's Rule
(0)

Graphing Systems of Inequalities
(0)

8. Conic Sections(0)

Introduction to Conic Sections
(0)

Circles
(0)

Ellipses: Standard Form
(0)

Parabolas
(0)

Hyperbolas at the Origin
(0)

Hyperbolas NOT at the Origin
(0)

9. Sequences, Series, & Induction(0)

Sequences
(0)

Arithmetic Sequences
(0)

Geometric Sequences
(0)

10. Combinatorics & Probability(0)

Factorials
(0)

Combinatorics
(0)

Probability
(0)

3. Functions

Intro to Functions & Their Graphs

3. Functions

Intro to Functions & Their Graphs: Videos & Practice Problems

Video Lessons Practice Worksheet

Intro to Functions & Their Graphs Practice Problems

273 problems

Problem 31Multiple Choice

For the given functions, f(x) = 5x² + 33x - 14 and g(x) = x + 7

Find f - g and write the domain.

Problem 32Multiple Choice

For the given functions, f(x) = 5x² + 33x - 14 and g(x) = x + 7

Find f + g and write the domain.

Problem 33Multiple Choice

For the given functions, f(x) = x - 7 and g(x) = 7x²

Find f/g and write the domain.

Problem 34Multiple Choice

For the given functions, f(x) = x - 7 and g(x) = 7x²

Find fg and write the domain.

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Problem 35Multiple Choice

For the given functions, f(x) = 7x - 1 and g(x) = 7x²

Find f - g and write the domain.

Problem 36Multiple Choice

For the given functions, f(x) = 7x - 1 and g(x) = 7x²

Find f + g and write the domain.

Problem 37Multiple Choice

For the given functions, f(x) = 5x + 12 and g(x) = x - 6

Find f/g and write the domain.

Problem 38Multiple Choice

For the given functions, f(x) = 5x + 12 and g(x) = x - 6

Find fg and write the domain.

Problem 39Multiple Choice

For the given functions, f(x) = 4x + 15 and g(x) = x + 6

Find f - g and write the domain.

Problem 40Multiple Choice

For the given functions, f(x) = 4x + 15 and g(x) = x + 6

Find f + g and write the domain.

Problem 41Multiple Choice

For the given function, find the domain.

f(x) = (7x + 4)/(x³ + x² - 49x - 49)

Problem 42Multiple Choice

For the given function, find the domain.

f(x) = √(x - 6)/(x - 13)

Problem 43Multiple Choice

For the given function, find the domain.

f(x) = √(x - 11) + √(x + 11)

Problem 44Multiple Choice

For the given function, find the domain.

f(x) = √(69 - 23x)

Problem 45Multiple Choice

Consider the three functions f(x) = 3x -8, g(x) = 5x - 4, and h(x) = x² + 2x + 6. Find the value of f(g[h(1)]) without forming the equation for the composite function.

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Problem 46Multiple Choice

Consider the three functions f(x) = 3x -8, g(x) = 5x - 4, and h(x) = x² + 2x + 6. Find the value of g(f[h(-3)]) without forming the equation for the composite function.

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Problem 47Multiple Choice

Consider the two functions f(x) = 3x - 8 and g(x) = 5x - 4. Find the value of (f○g)(2) without forming the equation for the composite function.

Problem 48Multiple Choice

Solve: fog(x) and also find domain of fog(x) where f(x) = 3x -2; g(x) = √x

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Problem 49Multiple Choice

Solve: gof(x) and also find domain of gof(x) where f(x) = x³ -2; g(x) = x² +6x

Problem 50Multiple Choice

Solve: gof(x) and also find domain of gof(x) where f(x) = √x +2x; g(x) = x² -2

Problem 51Multiple Choice

Solve for g ∘ f(x) and also find the domain of g ∘ f(x).