0. Review of College Algebra

Determine the largest open intervals of the domain over which each function is (a) increasing See Example 8.

State the inputs and outputs of the following relation. Is it a function?

{$\(\left\)(-3,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(3,5\(\right\))$}

Determine the largest open intervals of the domain over which each function is (b) decreasing. See Example 8.

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y = x²

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. x = y⁶

Let A = {-6, -12⁄4, -5⁄8, -√3, 0, ¼, 1, 2π, 3, √12}. List all the elements of A that belong to each set. Real numbers

Concept Check Let A = {1, 2, 3, 4, 5, 6}, B = {1, 3, 5,}, C = {1, 6}, and D = {4}. Find each set. a. A ∩ D b. B ∩ C c. B ∩ A d. C ∩ A

Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. g(-2)