Question

Look at picture then
Evaluate each of the following
f(3)=?
f(7)=?
f(10)=?
Indicate where f(x) would have a local maximum
x=?

Answer 1

@electrokid can you please help me.

Answer 2

@e.mccormick can you please help me

Answer 3

Do they give you f(0) or any other start point to find c?

Answer 4

No everything I tooka picture of and typed is all that they gave me

Answer 5

Do you think you can help me

Answer 6

trying to think of any way to do that without at least one known point.

Answer 7

ok cause I need quick help with this problem

Answer 8

@jim_thompson5910 Am I missing something here, since I don't see a known point to start with and find c to get all the rest from...

Answer 9

Ah, change of x to t. Missed that. OK. With that, if I recall, it is area under the derivative.

Answer 10

ok still confused but keep going

Answer 11

In the upper left, where it does \[f(x)=\int\limits_0^xg(t)dt\] The 0 to x part tels you that it is a definite integral, which is just the area under the curve.

Answer 12

ok

Answer 13

Because the curve is a bunch of straight lines, area can be found as triangles.

Answer 14

ok

Answer 15

so then how do I find the answers for f(3,7,10) and the x=?

Answer 16

ok I see what you are doing but then what

Answer 17

Once you have that, it is f(3) Then take the area from 3 to 5 and add it, and 5 to 7 and add that. THe new total is f(7). From 7 to 10 is below the line, so it should be negative, so subtract that area.

Answer 18

This looks like the type of problem satellite73 thought you had yesterday.... but that one was a slightly different type were C changes need to be accounted for.

Answer 19

yes correct but he is not on so f(3)=2 f(7)=4 f(10)=-2