Answer:
F(x) = -5x - 8
Explanation:
Let's try with the polynomial function
f(x) = -5x - 8
We can calculate f(8) replacing x by 8, so:
f(8) = -5(8) - 8
f(8) = -40 - 8
f(8) = -48
Additionally, f'(x) will be equal to:
f'(x) = -5
And -5 is distinct from 0.
Finally, if f'(x) = -5, f''(x) is the derivative of a constant, so:
f''(x) = 0 for all x
Therefore, an function that satisfies all the conditions is:
F(x) = -5x - 8
