Confused with method (Integration, evaluation, using f(4.7)=-231/10, graph of f')

[Karim]

Hi,

So for the given question below, I assume that we can use the fundamental theorem of calculus to find points f(0) and f(7).
By first finding the area between f'(4.7) and f'(5) and then plugging it into f(5) - f(4.7) we can get f(5) then we continue the process till we get f(7). We would similarly do the same to get f(0).
However, I noticed that f' is not defined at the points where the function jumps. So would the method I used still work even with the undefined points?

 

[blamocur]

we can use the fundamental theorem of calculus to find points f(0) and f(7).

How? Why don't you propose a specific solution which we can check whether it is correct or not.

However, I noticed that f' is not defined at the points where the function jumps.

This is OK since [imath]f[/imath] is known to be continuous.

 

[Steven G]

Did you try drawing f(x). Its quite easy do given the graph of f'(x)!