Algebra 1 7-6 Complete Lesson: Exponential Functions

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Solve It! Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days?

F.LE.3

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F.LE.3

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.e

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Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

F.IF.7.e

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Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

F.IF.7.e

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Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

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Problem 5 Got It?

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Problem 5 Got It?

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Problem 5 Got It?

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Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

F.IF.5

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Is the relation in the graph a function?
Use the vertical line test.

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What is f(2) for the function?

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The domain of f(x) is {-4, -2, 0, 2, 4}
Given the domain above, what is the range?

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Reasoning: Is the function an exponential function? Justify your answer.

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Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

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Review Lesson 7-4: Simplify the expression.

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Review Lesson 7-4: Simplify the expression.

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Review Lesson 7-4: Simplify the expression.

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Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

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Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

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Review Lesson 2-10: Identify each scenario as representing percent increase or percent decrease.

original price: $25; sale price: $22
height last week: 15 cm; height this week: 18 cm
price this year: $999; price last year: $1450
birth weight: 220 lb; weight at 1 month: 300 lb

Percent increase
Percent decrease

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Review Lesson 2-10: Identify each percent change. Round to the nearest percent.

original price: $25; sale price: $22
height last week: 15 cm; height this week: 18 cm
price this year: $999; price last year: $1450
birth weight: 220 lb; weight at 1 month: 300 lb

31%

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Vocabulary Review: Identify each relation based on whether or not it is a function.

{(1, 3), (1, 5), (2, 7), (3, 9), (4, 11)}
{(0, 0), (-1, -1), (-2, -2), (-3, -3)}
{(5, 5), (5, 4), (5, 3), (5, 4)}
{(2, 5), (3, 5), (4, 5), (5, 5)}

Function
Not a function

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Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

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Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

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Reflection: Math Success

F.IF.7.e

Algebra 1 7-6 Complete Lesson: Exponential Functions

Solve It! Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times. Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}. Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

Is the relation in the graph a function? Use the vertical line test.

What is f(2) for the function?

The domain of f(x) is {-4, -2, 0, 2, 4}Given the domain above, what is the range?

Reasoning: Is the function an exponential function? Justify your answer.

Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

Review Lesson 2-10: Identify each scenario as representing percent increase or percent decrease.

Review Lesson 2-10: Identify each percent change. Round to the nearest percent.

Vocabulary Review: Identify each relation based on whether or not it is a function.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.In the expression 5³, 3 is the __?__.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.The expression above is an __?__ expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days?

Solve It! Which plan will give your team more total practice over 8 days?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane. Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times. Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Problem 4 Got It? Reasoning: What is the percent increase in the area each time you zoom out in the previous item? Enter only a number.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}. Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

Is the relation in the graph a function? Use the vertical line test.

What is f(2) for the function?

The domain of f(x) is {-4, -2, 0, 2, 4}Given the domain above, what is the range?

Reasoning: Is the function an exponential function? Justify your answer.

Error Analysis: A student evaluated the function f(x) for x = -1 as shown. Describe and correct the student's mistake.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 7-4: Simplify the expression.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

Review Lesson 5-6: Write an equation for the line that is parallel to the given line and passes through the given point.

Review Lesson 2-10: Identify each scenario as representing percent increase or percent decrease.

Review Lesson 2-10: Identify each percent change. Round to the nearest percent.

Vocabulary Review: Identify each relation based on whether or not it is a function.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.In the expression 5³, 3 is the __?__.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.The expression above is an __?__ expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! Which plan will give your team more total practice over 8 days?

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

Is the relation in the graph a function?
Use the vertical line test.

The domain of f(x) is {-4, -2, 0, 2, 4}
Given the domain above, what is the range?

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 3 Got It? Graph the function on the coordinate plane.
Be sure to include relevant graph detail: label axes, indicate units and scale on both axes, and use arrows to represent end behavior, as appropriate.

Problem 4 Got It? You can also zoom out to view a larger area on the map in Problem 4. The function models the percent of the original area the map shows after zooming out x times.
Graph the function. Zoom the graphing utility to establish an appropriate viewing window.

Identify the domain and range of the relation {(-2, 3), (-1, 4), (0, 5), (1, 6)}.
Represent the relation with a mapping diagram by adding the domain, range, and arrows to the template provided.

Is the relation in the graph a function?
Use the vertical line test.

The domain of f(x) is {-4, -2, 0, 2, 4}
Given the domain above, what is the range?

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.

In the expression 5³, 3 is the ?.

Use Your Vocabulary: Complete the sentence with the word exponential or exponent. Respond with only the word.
The expression above is an ? expression.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.