A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x). How to approach this question?

Answer 1

Integrate.
f"(x)=10
f'(x)=10x+c
f(x)=5x^2 + cx + d

you are given a values of f'. use those to solve for c
then use the value of f(x) to solve for d.