Question

Select the correct answer.

This table models function m.
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?
A.
The y-intercept of m is less than the y-intercept of n.
B.
The y-intercept of m is not given.
C.
The y-intercept of m is equal to the y-intercept of n.
D.
The y-intercept of m is greater than the y-intercept of n.

Answer 1

A.

The y-intercept of m is less than the y-intercept of n.

Explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when
`x = 0`

Function n represents a cubic function that passes through the points (-1,0) and (0,2).

When
`x = 0, y = 2`, and thus, the y-intercept is y = 2.

Function m:

When
`x = 0, y = -6`, and thus, the y-intercept is y = -6, which is a smaller number than 2, so the y-intercept of m is less than the y-intercept of n, and the correct answer is given by option A.