Exponential Functions Topic 2: Solving Exponential Functions.
Section 7.5 Exponential Functions Algebra 1. Day 1: Learning Targets Graph Exponential Function....
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Transcript of Section 7.5 Exponential Functions Algebra 1. Day 1: Learning Targets Graph Exponential Function....
Section 7.5 Exponential Functions
Algebra 1
Day 1: Learning Targets• Graph Exponential Function.• Identify data that display exponential
behavior.
Concept
Example 1A. Graph y = 4x. Find the y-intercept and state the domain and range.
Example 1B. Use the graph of y = 4x to determine the approximate value of 41.5.
The graph represents all real values ofx and their corresponding values of y for y = 4x.
Answer: The value of y is 8 when x = 1.5.
Use a calculator to confirm this value.
41.5 = 8
Example 2A. Graph y = 5x. Find the y-intercept and state the domain and range.
Example 2B. Use the graph of y = 5x to determine the approximate value of 51.5.
Answer: The value of y is about 11 when x = 1.5.
Use a calculator to confirm this value.
51.5 = 11.1803398875
Example 3A. 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 4A. Graph y = (1/5)x. Find the y-intercept and state the domain and range.
Example 5A. Find the graph of A. B.
C. D.
Example 5
A. about 1
B. about 3
C. about 2
D. about 0.1
Example 6A.) Determine whether the set of data displays exponential behavior. Explain why or why not.
Method 1 Look 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 × 2.5 × 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 6Method 2 Graph 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.
Homework7.5 Day 1 Worksheet.
Day 2: Learning Targets• Graph Exponential Function with translations.
• Write equations for graphs.
Example 1Graph y = 3(2)x. Find the y-intercept and state the domain and range.
Example 2Graph y = 3(2)x. Find the y-intercept and state the domain and range.
Write an equation for the graph.
MAKE A TABLE.x
y
EQUATION:
Write an equation for the graph.
MAKE A TABLE.x
y
EQUATION:
Write an equation for the graph.
MAKE A TABLE.x
y
EQUATION:
Homework7.5 Day 2 Worksheet.
