Question

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 .

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

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

Answer 1

Both functions have x-intercept (-1, 0) and y-intercept (0, 1).

Reason: f(0)=0^3+1=1 and g(0)=0+1=1 → y-intercept (0,1).
Solve f(x)=0: x^3+1=0 → x=-1; solve g(x)=0: x+1=0 → x=-1 → x-intercept (-1,0).