Section 7.5 Exponential Functions Algebra 1. Day 1: Learning Targets Graph Exponential Function. Identify data that display exponential behavior.

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Presentation transcript:

Section 7.5 Exponential Functions Algebra 1

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

Concept

Algebra Lab!

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

Example 1 B. Use the graph of y = 4 x to determine the approximate value of 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 = 8

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

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

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

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

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

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

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

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 × 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.

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.

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

Homework 7.5 Day 1 Worksheet.

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

Algebra Lab!

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

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

Write an equation for the graph. x y

x y

x y

Homework 7.5 Day 2 Worksheet.