Question

Which of the following is an x intercept of the function?

f(x)= x^3-5x^2-8x+48

A) 4
B) -4
C) 2
D) -2

Answer 1

A (4)

Explanation:

Answer 2

A) 4

Explanation:

The given function is
`f(x)=x^3-5x^2-8x+48`

If
`f(a)=0`, then
`a` is an x-intercept of
`f(x)`

Let us substitute x=4 and simplify:

`f(4)=4^3-5(4)^2-8(4)+48`

`f(4)=64-80-32+48`

This implies that:

`f(4)=-48+48=0`

Therefore 4 is an x-intercept of
`f(x)=x^3-5x^2-8x+48`

Also, f(-4)=64, f(2)=20, and f(-2)=36.

This means that, -4, 2, and -2 are not x-intercepts