1. Section 7.5 Exponential Functions Algebra 1

2. Day 1: Learning Targets Graph Exponential Function. Identify data that display exponential behavior.

3. Concept

4. Algebra Lab!

5. Example 1 A. Graph y = 4 x. Find the y-intercept and state the domain and range.

6. Example 1 B. Use the graph of y = 4 x to determine the approximate value of 4 1.5. The graph represents all real values of x and their corresponding values of y for y = 4 x. Answer: The value of y is 8 when x = 1.5. Use a calculator to confirm this value. 4 1.5 = 8

7. Example 2 A. Graph y = 5 x. Find the y-intercept and state the domain and range.

8. Example 2 B. Use the graph of y = 5 x to determine the approximate value of 5 1.5. Answer: The value of y is about 11 when x = 1.5. Use a calculator to confirm this value. 5 1.5 = 11.1803398875

9. Example 3 A. Graph y = (1/4) x. Find the y-intercept and state the domain and range.

10. Example 3 Use a calculator to confirm this value. Answer: The value of y is about 8 when x = –1.5.

11. Example 4 A. Graph y = (1/5) x. Find the y-intercept and state the domain and range.

12. Example 5 A. Find the graph of A.B. C.D.

13. Example 5 A.about 1 B.about 3 C.about 2 D.about 0.1

14. Example 6 A.) Determine whether the set of data displays exponential behavior. Explain why or why not. 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 × 2.5 Answer: Since the domain values are at regular intervals and the range values differ by a positive common factor, the data are probably exponential. The equation for the data may involve (2.5) x.

15. Example 6 Method 2Graph the data. Answer: The graph shows rapidly increasing values of y as x increases. This is a characteristic of exponential behavior.

16. Example 6B A.no B.yes C.cannot be determined Determine whether the set of data displays exponential behavior.

17. Homework 7.5 Day 1 Worksheet.

18. Day 2: Learning Targets Graph Exponential Function with translations. Write equations for graphs.

19. Algebra Lab!

20. Example 1 Graph y = 3(2) x. Find the y-intercept and state the domain and range.

21. Example 2 Graph y = 3(2) x. Find the y-intercept and state the domain and range.

22. Write an equation for the graph. x y

23. x y

24. x y

25. Homework 7.5 Day 2 Worksheet.