ggcflo said:if you integrate f'(x) treating a and b as constants you get f(x)= ax^2/2 + bx
The value of f(x) at x=2 is 0, as given by the information f(2)=0.
The slope of the function f(x) is represented by f'(x), where a is the slope of the function.
To find the values of a and b, we can use the information given in the equation f'(x)=ax+b. Substituting x=2 and f'(x)=0, we can solve for a and b.
Yes, with the given information, we can graph the function f(x). The point (2,0) can be plotted on the graph, and the slope of the function can be used to determine the direction of the graph.
No, the information f'(x)=ax+b and f(2)=0 is sufficient to find the function f(x). However, if we want to find the specific values of a and b, we would need additional information or equations.