IMSA Functions and Graphing 2

Question 1

Which of the following is a linear function?

Accepted Answer

f(x) = 2x + 5

Answer

f(x) = 2x + 5 is linear because the variable x has an exponent of 1.

Question 2

What are the coordinates of the vertex of y = (x − 2)² + 3?

Accepted Answer

(2, 3)

Answer

In vertex form y = (x − h)² + k, the vertex is at (h, k), so here it is (2, 3).

Question 3

If g(x) = 4x − 7 and g(x) = 9, what is x?

Accepted Answer

4

Answer

4x − 7 = 9 gives 4x = 16, so x = 4.

Question 4

What is the y-value when x = −1 on the graph of y = x³?

Accepted Answer

−1

Answer

y = (−1)³ = −1.

Question 5

A function f(x) is even if:

Accepted Answer

f(−x) = f(x) for all x

Answer

An even function satisfies f(−x) = f(x), meaning it is symmetric about the y-axis.

IMSA - Intermediate Math Skill Assesment Practice Test