1. SWBAT… distinguish between an exponential and linear function Mon, 4/9 Agenda 1. Exponential vs. linear functions (30 min) 2. Work on Summer Jobs project and study guide (15 min) Warm-Up: 1. Review this week’s agenda 2. Take out Summer Jobs project and midterm study guide Continue to work on midterm study guide

2. Exponential Functions The variable is now the power (y = 2 x ) Notes: The axis scales do not match. You should expect that your table of values chart will not have many useful plot points. Find a few points and use your knowledge of the general appearance of exponentials to finish your graph.

3. Example 5-4a Determine whether the set of data displays exponential behavior. Method 1Look for a Pattern The domain values are at regular intervals of 10. Look for a common factor among the range values. 10 25 62.5 156.25 x 0102030 y 102562.5156.25 Answer: Since the range vales have a common factor of 2.5, this is a characteristic of exponential behavior.

4. Answer:The graph shows a rapidly increasing value of y as x increases. This is a characteristic of exponential behavior. Example 5-4b Method 2Graph the Data

5. Determine whether the set of data displays exponential behavior. Method 1Look for a Pattern The domain values are at regular intervals of 10. The range values have a common increase of 15. 10 25 40 55 +15 x 0102030 y 10254055 Answer:Since the domain values are at regular intervals and there is a common increase of 15, the data display linear behavior.

6. Answer:The graph is a line, not an exponential function. Example 5-4d Method 2Graph the Data

7. Plan 1:  Linear function: y = 0.50x + 4.50  Salary paid had a common increase of 0.50 (slope) Plan 2:  Exponential function: y = 0.01 * 2 d – 1  Salary paid had a common factor of 2 (doubling each day)