Question

Using the graph below, calculate the average rate of change for f(x) from x = 2 to x = 6.

exponential function going through points 2, 2 and 6, 6

x = −4

x = −1

x = 1

x = 4

Answer 1

Do you have the y coordinates to go with those x coordinates?

Answer 2

you need evaluate
\[\frac{f(6)-f(2)}{6-2}\]

Answer 3

I dont have the Y coordinate to go with the x's

Answer 4

@freckles would it be 1 then?

Answer 5

Well you need the corresponding y -value for x=6
that is what is meant be the notation f(6)
You also need the corresponding y-value for x=2
that is what is meant be the notation f(2)
are you saying f(6) is 6 and f(2) is 2?

Answer 6

yes, I think so if I understand what you're saying, I'm still slightly confused.

Answer 7

@freckles

Answer 8

@Hero ?

Answer 9

@sammixboo ?

Answer 10

confused on what part?

Answer 11

Are you given in ordered pairs?
ordered pairs (x,y)
or you can write it as (x,f(x))

Answer 12

I'm sure what 2,2 means
do you mean (2,2)?

Answer 13

(2,2) means
(2,f(2)=2)
that means when x=2, f(2)=2

Answer 14

I did the first equation you put up and got one. I'll upload the full problem

Answer 15

@freckles

Answer 16

I can't get that to load
but if f(2)=2 and f(6)=6
then yes the average rate of change is 1 since (6-2)/(6-2)=4/4=1.