Question

Calculate the average rate of change for the function f(x) = −x4 + 4x3 − 2x2 + x + 1, from x = 0 to x = 1.

Answer 1

y2-y1/x2-x1 ?

Answer 2

is that the formula I'd use?

Answer 3

No, it is not. Try this one: (y2-y1)/(x2-x1) Absolutely NOT the same thing.

Since x1 = 0 and x2 = 1, we have: (y2-y1)/(1-0) = y2-y1

f(0) is pretty easily seen to be 1 and we have: y2 - 1

Almost done!

Answer 4

i don't understand, because i got (y2-y1)/1

Answer 5

That's good. Now, evaluate f(0) and f(1) to find the necessary y-values.