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)

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

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

The graphs intersect at (1,2)
.

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

Answer 1

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

Reason: f(−1)= (−1)^3+1 = 0 and g(−1)= −1+1 = 0, so both have x-intercept (−1,0). Also f(0)=1 and g(0)=1, so both have y-intercept (0,1).