CAASPP Functions 2

Question 1

What is the y-intercept of the function f(x) = 4x − 9?

Accepted Answer

−9

Answer

The y-intercept is the value of b in f(x) = mx + b; here b = −9, confirmed by evaluating f(0) = 4(0) − 9 = −9.

Question 2

Which equation models exponential growth?

Accepted Answer

y = 2^x

Answer

y = 2^x is exponential because the variable x appears as an exponent, causing the output to double with each unit increase in x.

Question 3

If f(x) = x² + 2, what is f(−3)?

Accepted Answer

11

Answer

f(−3) = (−3)² + 2 = 9 + 2 = 11.

Question 4

Which statement best describes the rate of change of a linear function?

Accepted Answer

It is constant

Answer

Linear functions have a constant rate of change (slope), which is the defining characteristic that distinguishes them from non-linear functions.

Question 5

A function has the equation y = 3x. If x doubles, what happens to y?

Accepted Answer

y doubles

Answer

Since y = 3x, if x becomes 2x then y = 3(2x) = 2(3x), so y also doubles.

CAASPP - California Assessment of Student Performance and Progress Practice Test