Question

Use the table to answer the question.

This table compares the values of functions f(x) and g(x) for different x values.
x f(x)=x3+1 g(x)=x+1
−2 −7 −1
−1 0 0
0 1 1
1 2 2
2 9 3
Compare the functions f(x)=x3+1 and g(x)=x+1 . Which of the following statements is true about the intercepts of the functions?

(1 point)
Responses

The graphs intersect at (1,2) .
The graphs intersect at left parenthesis 1 comma 2 right parenthesis .

Both functions have a y-intercept of (−1,0) and an x-intercept of (0,1) .
Both functions have a y -intercept of left parenthesis negative 1 comma 0 right parenthesis and an x -intercept of left parenthesis 0 comma 1 right parenthesis .

Both functions have an x-intercept of (−1,0) and a y-intercept of (0,1) .
Both functions have an x -intercept of left parenthesis negative 1 comma 0 right parenthesis and a y -intercept of left parenthesis 0 comma 1 right parenthesis .

The x- and y-intercepts are different for each function.
The x - and y -intercepts are different for each function.

Answer 1

Correct statement: Both functions have an x-intercept of (−1,0) and a y-intercept of (0,1).

Reason: f(0)=1 and g(0)=1 so the y-intercept for both is (0,1). f(−1)=0 and g(−1)=0 so the x-intercept for both is (−1,0).