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.
a. -1
b. 1
c. -5
d. 5

Answer 1

\[\int\limits_{-1}^{1} (x^4 + 3x^3 -5x^2 + 2x -2 )/2\]

Answer 2

I can't really tell what that means

Answer 3

Have you taken integrals in calculus?

Answer 4

No I'm in algebra 2

Answer 5

\[
\frac{f(1)-f(-1)}{1-(-1)}=5
\]

Answer 6

So the rate of change is 5.

Answer 7

The rate of change of a function on an interval [a,b] is
\[
\frac{f(b)-f(a)}{b-a}
\]

Answer 8

Yes it is 5