Algebra 2 7-2 Complete Lesson: Properties of Exponential Functions
By Matt Richardson
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Last updated almost 3 years ago
25 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
10
1.
Solve It!f and g are exponential functions with the same base.
Is the graph of g
● a compression,
● a reflection, or
● a translation
of the graph of f ? Or is it none of the above? Select all that apply.
F.IF.7.e
A.CED.2
10
2.
Problem 1 Got It?
F.BF.1.b
A.SSE.1.b
F.IF.8.b
A.CED.2
10
3.
Problem 2 Got It?
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
A.CED.2
10
4.
Problem 2 Got It?
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
A.CED.2
10
5.
Problem 3 Got It? Use the exponential model from Problem 3.
How long does it take for the coffee to reach a temperature of 100 degrees?
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
10
6.
Problem 3 Got It? Reasoning: In Problem 3, would the model of the exponential data be useful if you did not translate the data by 68 units? Explain.
A.SSE.1.b
F.IF.8.b
10
7.
Problem 4 Got It? How can you use a graphing calculator to calculate e8?
10
8.
Problem 4 Got It? Calculate e8. Round to 5 decimal places. Enter only a number with no commas or spaces.
10
9.
Problem 5 Got It?Scholarships: Suppose you won a contest at the start of 5th grade that deposited $3000 in an account that pays 5% annual interest compounded continuously. How much will you have in the account when you finish high school 8 years later? Express the answer to the nearest dollar.
F.BF.1.b
A.CED.2
10
10.
For the function
y = -2 • 3x, identify the transformation from the parent function
y = 3x.
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
A.CED.2
10
11.
For the function
y = ½(9)x, identify the transformation from the parent function
y = 9x.
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
A.CED.2
10
12.
For the function
y = 7(x-5), identify the transformation from the parent function
y = 7x.
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
A.CED.2
10
13.
For the function
y = 5x + 3, identify the transformation from the parent function
y = 5x.
F.BF.1.b
F.IF.7.e
A.SSE.1.b
F.IF.8.b
A.CED.2
10
10
15.
Reasoning: Is investing $2000 in an account that pays 5% annual interest compounded continuously the same as investing $1000 at 4% and $1000 at 6%, each compounded continuously? Explain.
F.BF.1.b
A.SSE.1.b
F.IF.8.b
A.CED.2
10
16.
Review Lesson 7-1: Without graphing, determine whether the function represents exponential growth or decay.
Exponential growth
Exponential decay
F.BF.1.b
A.SSE.1.b
F.IF.8.b
10
17.
Review Lesson 7-1: Without graphing, find the y-intercept of each exponential function.
y-intercept: 2
y-intercept: 23
y-intercept: 3
y-intercept: 5
F.BF.1.b
A.SSE.1.b
F.IF.8.b
5
18.
Review Lesson 6-3: Simplify.
A.REI.2
5
19.
Review Lesson 6-3: Simplify.
A.REI.2
5
20.
Review Lesson 6-3: Simplify.
A.REI.2
10
21.
Review Lesson 6-7: Find the inverse of each function on the right and state whether the inverse is a function or is not a function.
f- -1 is a function
f -1 is NOT a function
F.BF.4.a
A.CED.2
10
22.
Vocabulary Review: In each graph, the dashed figure is the image of the solid figure after a transformation. Categorize each transformation as a translation, reflection, or dilation.
Translation
Reflection
Dilation
G.CO.2
10
23.
Use Your Vocabulary: Identify the functions that represent exponential growth. Select all that apply.
A.SSE.1.b
F.IF.8.b
100
24.
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.
