Answer:
C
Step-by-step explanation:
Substitute each of the values into f(x) and if equal to zero then it is an x- intercept.
f(3)
= 3³ - 3² - 8(3) + 12 = 27 - 9 - 24 + 12 = 6 ≠ 0
f(- 4)
= (- 4)³ - (- 4)² - 8(- 4) + 12 = - 64 - 16 + 32 + 12 = - 36 ≠ 0
f(- 3)
= (- 3)³ - (- 3)² - 8(- 3) + 12 = - 27 - 9 + 24 + 12 = 0
f(4)
= 4³ - 4² - 8(4) + 12 = 64 - 16 - 32 + 12 = 28 ≠ 0
Since f(- 3) = 0 then x = - 3 is an x- intercept of f(x)
