anonymous 3 years ago Consider the function f(x) below:

1. anonymous

2. anonymous

if find g(4)

3. anonymous

@agent0smith can u help?

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5. anonymous

I've got this.

6. anonymous

ok can u help?

7. anonymous

$g(x)=\int\limits_{1}^{x} f(t)dt$ Based on that, it's just the area under f(x) from 1 to 4. That should be easy to find geometrically.

8. anonymous

okay i got 3 is that correct?

9. anonymous

@SithsAndGiggles can u help?

10. anonymous

I count three boxes and three triangles. That's three and three halves.

11. anonymous

@Numb3r1, you mean 4 and a half.

12. anonymous

I like to leave a little simplification for them to do, but yes.

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14. anonymous

I thought you had said 3 and a half.

15. anonymous

so its 4.5

16. anonymous

Yup! If you have a graph and can just count the integral, do.