Question

Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question:

What is the average rate of change from x = −1 to x = 1?

Answer 1

Anyone help me please

Answer 2

@iGreen please help me

Answer 3

help please

Answer 4

someone please help

Answer 5

@jigglypuff314 help me please

Answer 6

When x = -1, what does y = ?

Answer 7

What about when x = 1?

Answer 8

Tell me those

Answer 9

Yep!

Answer 10

and y=0 for x=1

Answer 11

No..that's incorrect.

Answer 12

Locate '1' on the x-axis..go up till' you reach the line..then go to the left until you reach the y-axis..what number do you come up with?

Answer 13

If y = 0, the line would be on the x-axis at x = 1.

Answer 14

y=1 for x=1

Answer 15

Correct..now we have two points.

(-1, 3) and (1, 1)

Rate of change is the same thing as slope, so plug these two points into the slope formula.

Answer 16

\(\sf m = \dfrac{y_2-y_1}{x_2-x_1}\)

(-1, 3), (1, 1)
x1 y1 x2 y2

Plug them in and simplify..tell me what you get.

Answer 17

1-3/1-(-1)=-2/2=-1