Question

Using the graph below, select all statements that are true.

A. f(0.6)=0
B. f(-3.2)=-3
C. f(5.1)=5
D. This is the graph of the greatest integer function.
E. This graph is one-to-one.

Answer 1

C, D, E

Explanation:

Answer 2

A. f(0.6)=0

C. f(5.1)=5

D. This is the graph of the greatest integer function.

Explanation:

The graph maps each x-value to the largest integer less than or equal to that value. That is the definition of the "greatest integer" function.

The "greatest integer" of -3.2 is -4, so B is not a correct choice. The graph does not pass the horizontal line test, so the function is not one-to-one, and E is not a correct choice.