Question

Which statement is true?

A.
The x-intercept of f(x) is equal to the x-intercept of g(x).

B.
The y-intercept of f(x) is equal to the y-intercept of g(x).

C.
The y-intercept of f(x) is greater than the y-intercept of g(x).

D.
The x-intercept of f(x) is greater than the x-intercept of g(x).

Answer 1

D

Explanation:

We can see in the graph f(x) that the x intercept is
`(1,0)`.

In the table of g(x), we can see that the x intercept is
`(-1,0)`.

Since
`1>-1`, the x intercept of the graph f(x) is greater than the x intercept of graph g(x).

Answer 2

D. The x-intercept of f(x) is greater than the x-intercept of g(x).

EXPLANATION

From the graph, f(x) touches the y-axis at y=-1.

The y-intercept of -1

The graph touches the x-axis at x=1.

This is the x-intercept.

From the table, the y-intercept is the point with x-coordinate of zero.

From the table, x=0 when y=1.

The y-intercept of g(x) is 1.

The x-intercept is where y=0.

The x-intercept is -1.

The x-intercept of f(x), which is 1, is greater than the x-intercept of g(x), which is -1

The correct choice is D.