9514 1404 393
Answer:
f(0) = -11
Step-by-step explanation:
The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.
[tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]