Exploring Average Rate of Change in Exponential Functions

What is another term for the average rate of change?

• Intercept

• Slope

• Integral

• Derivative

When counting for slope, if you count up first, what type of slope is it?

• Negative

• Positive

• Undefined

• Zero

In a table, what do you label the first set of ordered pairs?

• X1, Y1

• X2, Y2

• X3, Y3

• X4, Y4

What is the formula for average rate of change using a table?

• (Y2 - Y1) / (X2 - X1)

• (X2 - X1) / (Y2 - Y1)

• (Y1 - Y2) / (X1 - X2)

• (X1 - X2) / (Y1 - Y2)

When finding the average rate of change on a graph, what does the interval refer to?

• Y-values

• X-values

• Z-values

• Slope values

What is the easiest method to find the average rate of change on a graph?

• Using a calculator

• Using rise over run

• Using a table

• Using an equation

What is the first step when using an equation to find the average rate of change?

• Subtract the Y values

• Plug in the first X value

• Graph the equation

• Find the derivative

What is the second step when using an equation to find the average rate of change?

• Subtract the Y values

• Plug in the second X value

• Find the derivative

• Graph the equation

In the example with the table, what is the average rate of change from 1 to 3?

• 36

• 45

• 27

• 9

In the example with the equation, what is the average rate of change from 2 to 4?

• 7

• 4

• 6

• 5