Question

Use the table below to answer this question:

x
−3
0
1

y
-3
3
5
Find the average rate of change for the given function from x = −3 to x = 1.
a) 2
b) −3
c) −1
d) −2

Answer 1

Do the x and y values correspond so the first x value is the input for the first y value?

Answer 2

uhhh what

Answer 3

On the original table, are the x and y values side by side?

Answer 4

yes

Answer 5

Okay so to find the average rate of change, you take the final value of y and subtract the initial value of y then divide this by the final value of x minus the initial value of x:
\[\frac{ (5-(-3)) }{ (1-(-3)) }=\frac{ (5+3) }{ (1+3) }=\frac{ 8 }{ 4 }=2\]

Answer 6

I can use that formula for all questions like this one??

Answer 7

The formula for average rate of change is:
\[(y _{f}-y _{1})/(x _{f}-x _{i})\]
Where the subscript f means final and the subscript i means initial. For example in this problem the initial y value is -3 and the final y value is 5.

Answer 8

You can use that formula for all average rate of change problems.

Answer 9

Wow, thank you so much!!