Problem 1:

Express the following sets of numbers using interval notation:

{x|x ≤−2 or x ≥ 0}

Problem 2:

Find the midpoint of the line segment connecting P (−2; 5) and Q(4;−3)

Problem 3:

Determined whether or not (−1, 0) is on the graph x2 + y3 = 1.

Problem 4:

Find the x− and y− intercepts (if any) of the graph of (x− 2)2 + y2 = 25.

Problem 5:

Use the Vertical Line Test to determine if the following relation describes y as a function

of x.

Problem 6:

What are the domain and range of the following function:

f(x) = √ x3 − 8

Problem 7:

What are the domain and range of the following function:

f(x) = √

7 −x

Problem 8:

The area A enclosed by a square, in square inches, is a function of the length of one of its

sides x, when measured in inches. This relation is expressed by the formula A(x) = x2 for

x > 0. Find A(2) and solve A(x) = 49. Interpret your answers to each. Why is x restricted

to x > 0?

Problem 9:

Let f(x) = 6×2 −x and g(x) = 4 − 1 x . Find (f + g)(−1)

Problem 10:

Find and simplify the difference quotient for the following function:

f(x) = x2 − 2x + 3

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