CAASPP Functions

Question 1

What defines a function in mathematics?

Accepted Answer

Each input has exactly one output

Answer

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

Question 2

Which of the following represents a linear function?

Accepted Answer

y = 2x + 3

Answer

A linear function has the form y = mx + b, making y = 2x + 3 linear with slope 2 and y-intercept 3.

Question 3

If f(x) = 3x − 5, what is f(4)?

Accepted Answer

7

Answer

f(4) = 3(4) − 5 = 12 − 5 = 7.

Question 4

Which test determines whether a graph represents a function?

Accepted Answer

Vertical line test

Answer

The vertical line test states that if any vertical line intersects a graph at more than one point, the graph does not represent a function.

Question 5

A table shows x: 1, 2, 3, 4 and y: 2, 4, 6, 8. What type of function does this represent?

Accepted Answer

Linear

Answer

The y-values increase by a constant amount of 2 for each increase of 1 in x, which is a constant rate of change characteristic of linear functions.

CAASPP - California Assessment of Student Performance and Progress Practice Test