Question

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

a. f(4.9)= 5
b. f(-3.4)= -4
c. This is the graph of the absolute value function.
d. This is the graph of the greatest integer function.
e. This graph is one-to-one.

Answer 1

B. f(-3.4)= -4 and D. This is the graph of the greatest integer function.

Answer 2

This is the Greatest Integer Function, denoted by
`y = [x]`. For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest integer.

a. FALSE. Because f(4.9) will round down to 4.
b. TRUE.
c. no it's not the absolute value function. that has V-shape
d. TRUE.
e. FALSE. because for every unique x-value you don't always get a unique y value. .... f(5)=5, f(5.1)=5, f(5.76)=5, etc.