Answer:
Step-by-step explanation:
f(x) = x^3 – 8x^2 +x +42
If x = 7 is a zero then f(7) = 0
f(7) = 7^3 - 8(7)^2 + 7 + 42
= 343 - 392 + 49
= 0
f(-2) and f(3) are also zero so these are also zeroes of f(x).
End behavior :
As coefficient of x^3 is positive
f(x) ascends from left from negative infinity and finally ascends to infinity on the right.