0. Review of College Algebra

Determine whether each relation defines a function. See Example 1. x y 3 -4 7 -4 10 -4

Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4.

Use set-builder notation to describe each set. See Example 2. (More than one description is possible.) {2, 4, 6, 8}

Find the domain of $f\(\left\)(x\(\right\))=\(\frac{1}{x^2-5x+6}\)$ . Express your answer using interval notation.

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

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. See Example 3. Natural numbers

Use set-builder notation to describe each set. See Example 2. (More than one description is possible.) {4, 8, 12, 16,...}

Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4.

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. Whole numbers

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

Use the graph of y = ƒ(x) to find each function value: (a) ƒ(-2) (b) ƒ(0) (c) ƒ(1) and (d) ƒ(4). See Example 7(d).

Determine the intervals of the domain over which each function is continuous. See Example 9.

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

{$\(\left\)(2,5\(\right\)),\(\left\)(0,2\(\right\)),\(\left\)(2,9\(\right\))$}