Find the average rate of change for the given function in the following interval.

F(x) = sinx + 2 [-90 degrees, 90 degrees]

My answer is 1.

Is this right or wrong?

If wrong, why?

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- Dec 23rd 2008, 09:11 PMmagentaritaAverage Rate of Change
Find the average rate of change for the given function in the following interval.

F(x) = sinx + 2 [-90 degrees, 90 degrees]

My answer is 1.

Is this right or wrong?

If wrong, why?

- Dec 24th 2008, 12:23 AMMoo
Hello,

If I understand correctly what an averate rate of change is, I'd say it's :

$\displaystyle \frac{F(90)-F(-90)}{90-(-90)}=\dots=\frac{3-1}{180}=\dots$ - Dec 24th 2008, 12:34 AMsamer_guirguis_2000
I think the answer is 2 if you are getting the average of the function and it is zero if you are getting the average of its derivative(rate).

The averaging of a function involves the integration of the function between the limits given divided by the interval. Of course you sould substitute the limits in radians.

This is purely mathematical.

if you graph this function you will find it a sine wave shifted upwards two units. so the average is two without computing. - Dec 24th 2008, 12:42 AMChop Suey
The average rate of change, in this case, is the slope of the line containing the endpoints of the interval.

The instantaneous rate of change is the derivative, or the slope of the line tangent to a certain point. - Dec 24th 2008, 03:21 AMmr fantastic
- Dec 28th 2008, 07:19 AMmagentaritaThanks
**I want to thank all who took time out to explain this question.**