CAASPP Functions 3

Question 1

Which graph represents a non-linear function?

Accepted Answer

A U-shaped parabola

Answer

A U-shaped parabola represents a quadratic function, which is non-linear because its graph curves rather than forming a straight line.

Question 2

The range of a function refers to:

Accepted Answer

The set of all possible output values

Answer

The range is the complete set of possible output values (y-values) that a function can produce.

Question 3

What is the x-intercept of the function f(x) = 2x − 6?

Accepted Answer

3

Answer

Set f(x) = 0: 0 = 2x − 6, so 2x = 6 and x = 3.

Question 4

If g(x) = 5 for all values of x, what type of function is g?

Accepted Answer

Constant

Answer

A function that outputs the same value for every input is a constant function; g(x) = 5 always equals 5 regardless of x.

Question 5

Two functions are defined as f(x) = x + 3 and g(x) = 2x − 1. For what value of x are f(x) and g(x) equal?

Accepted Answer

x = 4

Answer

Set x + 3 = 2x − 1, then 4 = x, so the functions are equal when x = 4.

CAASPP - California Assessment of Student Performance and Progress Practice Test