Precalculus Examples

Find the Average Rate of Change table[[x,0],[1,2],[3,4],[g(x),1],[3,9],[27,81]]
Step 1
Choose the starting and ending values from the table.
Step 2
To find the average rate of change, find the slope.
Step 3
Slope is equal to the change in over the change in , or rise over run.
Step 4
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Step 5
Substitute in the values of and into the equation to find the slope.
Step 6
Simplify.
Tap for more steps...
Step 6.1
Simplify the numerator.
Tap for more steps...
Step 6.1.1
Multiply by .
Step 6.1.2
Subtract from .
Step 6.2
Simplify the denominator.
Tap for more steps...
Step 6.2.1
Multiply by .
Step 6.2.2
Subtract from .
Step 7