IMSA Functions and Graphing 3

Question 1

What is the inverse of f(x) = 2x + 6?

Accepted Answer

f⁻¹(x) = (x − 6)/2

Answer

Swap x and y: x = 2y + 6, then solve for y: y = (x − 6)/2.

Question 2

What is the value of f(g(x)) if f(x) = x + 3 and g(x) = 2x?

Accepted Answer

2x + 3

Answer

f(g(x)) = f(2x) = 2x + 3.

Question 3

Which graph passes through the origin and has a slope of 3?

Accepted Answer

y = 3x

Answer

A line through the origin with slope 3 has equation y = 3x (b = 0).

Question 4

What does a negative slope indicate about a line?

Accepted Answer

The line falls from left to right

Answer

A negative slope means that as x increases, y decreases, so the line falls from left to right.

Question 5

If h(t) = −16t² + 64t represents the height of an object, what is h(2)?

Accepted Answer

64

Answer

h(2) = −16(4) + 64(2) = −64 + 128 = 64.

IMSA - Intermediate Math Skill Assesment Practice Test