IMSA Functions and Graphing

Question 1

Which of the following represents a function?

Accepted Answer

Each input has exactly one output

Answer

A function requires that every input (x-value) maps to exactly one output (y-value).

Question 2

What is the domain of f(x) = 1/(x − 3)?

Accepted Answer

All real numbers except x = 3

Answer

The function is undefined when the denominator equals zero, i.e., when x = 3.

Question 3

If f(x) = x² − 4, what is f(−2)?

Accepted Answer

0

Answer

f(−2) = (−2)² − 4 = 4 − 4 = 0.

Question 4

What is the range of f(x) = |x|?

Accepted Answer

y ≥ 0

Answer

The absolute value function always produces non-negative results, so the range is y ≥ 0.

Question 5

What does the graph of y = x² look like?

Accepted Answer

A parabola opening upward

Answer

y = x² is a quadratic equation whose graph is a U-shaped parabola opening upward.

IMSA - Intermediate Math Skill Assesment Practice Test