0. Review of College Algebra

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. y = √(4x + 1)

Determine whether each relation defines a function, and give the domain and range. See Examples 1 – 4. x y 0 0 -1 1 -2 2

Determine the largest open intervals of the domain over which each function is (c) constant. 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. Rational numbers

Determine whether each relation defines y as a function of x. Give the domain and range. See Example 5. 2 y = ——— x - 3

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

Is the equation $y=-2x+10$ a function? If so, rewrite it in function notation and evaluate at $f\(\left\)(3\(\right\))$.

For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7. ƒ = {(-1, 3), (4, 7), (0, 6), (2, 2)}

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. Irrational numbers

List the elements in each set. See Example 1. {x|x is an irrational number that is also rational}

Determine whether each relation defines a function. See Example 1. {(5, 1), (3, 2), (4, 9), (7, 8)}

For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7. ƒ = {(2, 5), (3, 9), (-1, 11), (5, 3)}

List the elements in each set. See Example 1. {p|p is a number whose absolute value is 4}

For each function, find (a) ƒ(2) and (b) ƒ(-1). See Example 7.

CONCEPT PREVIEW Fill in the blank(s) to correctly complete each sentence. The set containing no elements is the _______, symbolized _______.