1. Properties of Exponential Functions Today’s Objective: I can transform an exponential function.

2. (0, 1) (1, b) Graphing: 1. y-intercept 2.1 point to right 3.Translate

3. Family of Exponential Functions

4. Finding the y-intercept Family of Exponential Functions Horizontal shiftVertical Shift Asymptote: Range: y = 0 y = 3 y > 3

5. Writing an equation from a graph

6. Time (min) Temp (°F) 0203 5177 10153 15137 20121 25111 30104 The best temperature to brew coffee is between 195°F and 205°F. Coffee is cool enough to drink at 185°F. The table shows temperature readings from a sample cup of coffee. Model this relationship. Graph on calculator: 1.enter data: [STAT], [enter] 2.STAT PLOT: [2 nd ], [y =] Exponential Function: 1.[STAT], [►], [▼] to ExpReg 2.[2 nd ], [1], [,], [2 nd ], [2], [VARS] y 1 [Graph]

7. Coffee temp. will not drop below room temperature List 3 = List 2 – 70 Exponential Function: 1.[STAT], [►], [▼] to ExpReg 2.[2 nd ], [1], [,], [2 nd ], [3], [VARS] y 2 7-2 p.447:7-21 odds, 22, 28, 38, 39