0. Review of College Algebra

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

List the elements in each set. See Example 1. {z|z is a natural number greater than 4}

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y = 2x - 5

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

List the elements in each set. See Example 1. {a|a is an even integer greater than 8}

Find the domain and range of the following graph (write your answer using interval notation).

List the elements in each set. See Example 1. {z|z is an integer less than or equal to 4}

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

Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(0)

List the elements in each set. See Example 1. {x|x is a whole number less than 6}

List the elements in each set. See Example 1. {k|k is an odd integer less than 1}

Let f(x) = -3x + 4 and g(x) = -x² + 4x + 1. Find each of the following. Simplify if necessary. See Example 6. ƒ(⅓)

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).

Find the domain of $f\(\left\)(x\(\right\))=\(\sqrt{x+4}\)$ . Express your answer using interval notation.

Is the equation $y^2+2x=10$ a function? If so, rewrite it in function notation and evaluate at $f\(\left\)(-1\(\right\))$.