Question

Calculate the average rate of change for the given function, from x = −3 to x = 7.

x f(x)
-3 50
3 10
7 0

Answer 1

hint: average rate of change in a function from x = A to x = B can be expressed in the form

[f(B)-f(A)]/(B-A)

Answer 2

substitute x = -3 for A and x = 7 for B

Answer 3

So [f(8)-f(-3)] 8-(-3)

Answer 4

not quite, where is the 8 coming from?

Answer 5

Oh xD meant to be a 7

Answer 6

right,

[f(7)-f(-3)] / 7-(-3)

Answer 7

(we're not done yet, you still need to plug in your values of f(7), f(-3), and simplify)

Answer 8

So f(10) /10 ?

Answer 9

uh, not quite

what is the value of f(7)?

Answer 10

look at the table

Answer 11

0?

Answer 12

right, now what is the value of f(-3)?

Answer 13

50

Answer 14

Right! so, our formula

[f(7)-f(-3)] / 7-(-3)

gives us

(0-50)/(10)

Answer 15

which is -5

Answer 16

Sweet thanks a lot :D