Find f(-1) Using a Graph

[lovetolearn]

The letters/numbers connected by the ___ are either above or below the integral. I do not know how to type integrals on the computer so I had to do it this way.
The figure at the right shows the graph of f, whose domain is the closed interval [-2,6]. Let

_____x
f(x)=∫ f(t)dt
_____3


A) find f(-1)
B) find f(6)
C) for what values of x does f(x)=0 is this one 1, 3?

 

[HallsofIvy]

Do you know that the integral can be interpreted as "area under the graph"? And, since this graph consists of straight lines, the areas can be calculated with elementary geometry formulas.

 

[lovetolearn]

Yes it is quite simple! I just did not know how to do it.

A=-4
B=-3
C=3 and 1

 

[HallsofIvy]

Yes it is quite simple! I just did not know how to do it.

A=-4
B=-3
C=3 and 1

Good!