Question

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

Answer 1

Average rate of change of a function f(x) between x = a and x = b is:
\[\frac{ f(b) - f(a) }{ b - a }\]

Answer 2

@ranga

Answer 3

Yes, plug the numbers from the table into the formula in my first reply.

Answer 4

Average rate of change of a function f(x) between x = -3 and x = 7 is:
\[\frac{ f(7) - f(-3) }{ 7 - -3 }\]

Answer 5

what do i insert where f is

Answer 6

f(7) means the value of f(x) when x = 7.
Look in the table in the row x = 7 and see what f(x) is. That will be f(7)
Look in the table in the row x = -3 and see what f(x) is. That will be f(-3)

Answer 7

@ranga im confused

Answer 8

You have provided a table above. It says when x = -3, f(x) = 50.
This is same as saying f(-3) = 50
The second line of table says: f(3) = 10
The third line of the table says: f(7) = 0

Just take the appropriate number and plug into the formula I gave above.

Answer 9

so i take @ranga

Answer 10

Not f(50). f(7).
Numerator is: { f(7) - f(-3) } = ?
Denominator is: { 7 - (-3) } = 10

Answer 11

its 10/10 @ranga

Answer 12

@iPwnBunnies

Answer 13

No, try again.
What is f(7)?
What is f(3)?

Answer 14

f(-3)*

Answer 15

sorry @iPwnBunnies but I got

Answer 16

sorry @iPwnBunnies but I got