Pay it Forward Video Clip

Set up an t-chart to show how many people are helped for that particular day.

What equation would match our table? Y = 3^x Discuss what the x and y represent in the equation in relation to the story line.

How many people have been helped on day 10? Using your equation… How many people have been helped on day 10? On day 15? If ALL of Hillgrove received a good deed on the same day, what day would that be? Y = 3^x

Coordinate Algebra UNIT QUESTION: How can we use real-world situations to construct and compare linear and exponential models and solve problems? Standards: MCC9-12.A.REI.10, 11, F.IF.1-7, 9, F.BF.1-3, F.LE.1-3, 5 Today’s Question: How can I tell if an exponential function is a growth or decay curve? Standard: MCC9-12.F.LE.1c

Exponential Transformations

Graphing Exponential Functions

Example 1 y = 3x+2 Domain: Range: Asymptote: Increase/Decrease Draw the parent graph first in one color. Use a different color for the transformed function

Example 2 f(x) = 2x-1 Domain: Range: Asymptote: Increase/Decrease Draw the parent graph first in one color. Use a different color for the transformed function

Example 3 f(x) = 2x-1+3 Domain: Range: Asymptote: Increase/Decrease Draw the parent graph first in one color. Use a different color for the transformed function

Try These! Draw the parent graph first in one color. Use a different color for the transformed function

Exponential Growth or Decay

Growth or Decay b>1 0<b<1

Neither Growth Nor Decay

Growth Or Decay?

Graphing Exponential Functions