Calculate the average rate of change for the function f(x) = x^4 + 3x^3 − 5x^2 + 2x − 2, from x = −1 to x = 1.

−1

1

−5

5

Question

Calculate the average rate of change for the function f(x) = x^4 + 3x^3 − 5x^2 + 2x − 2, from x = −1 to x = 1.


 −1

 1

 −5

 5

mathmale · Answer

I see you're probably in integral calculus.

Would you do yourself and me a favor and please type out the formula for 

"average rate of change"?  After you've done that, we can find the solution to the problem you've posted.

anonymous · Answer

im not good at math at all haha, could i just google the formula for that?

mathmale · Answer

Of course!  I encourage you to do that.  Just be certain, please, to copy down and review this formula again and again; doing so will help you to remember it and apply it properly.

mathmale · Answer

Please see: https://www.google.com/search?q=average+rate+of+change+of+a+function&oq=average+rate+of+change+of+a+function&aqs=chrome..69i57j0l5.4787j0j7&sourceid=chrome&espv=210&es_sm=122&ie=UTF-8

mathmale · Answer

Making progress, Lindsay?

anonymous · Answer

attachment

mathmale · Answer

Perfect. See also: http://www.mesacc.edu/~marfv02121/readings/average/ The 'Net has been slow; I apologize for the delay in answering you.

mathmale · Answer

Your function is f(x) = x^4 + 3x^3 − 5x^2 + 2x − 2.

Your interval of interest is [-1,1].

Therefore, a=-1 and b=1.

Please evaluate f(x) at both -1 and 1.

f(-1) = ?
f(1)   = ?
b       = ?
a       = ?

anonymous · Answer

im not sure what to do here