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

0
1
2
7

Answer 2

@iGreen. answers right above

Answer 3

\(f(x) = -x^4 + 4x^3 - 2x^2 + x + 1\)

Okay, when x = 0, y is 1. And when x = 1, y is 3.

(0, 1), (1, 3)

Plug it into the slope formula:

\(m = \dfrac{3-1}{1-0}\)

What's 3 - 1?

Answer 4

2

Answer 5

Yes, and what's 1 - 0?

Answer 6

still 1 right

Answer 7

Yes, so we have:

\(\dfrac{2}{1}\)

And what's 2 / 1?

Answer 8

what do you mean?

Answer 9

Divide 2 / 1

Answer 10

2

Answer 11

Yes, so that's the average rate of change.

Answer 12

thank you, can you do more please. I have two more i dont know