Algebra 2 7-2 Mixed Review: Properties of Exponential Functions
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Last updated almost 4 years ago
8 questions
12 points
12
Question 1
1.
Review Lesson 7-1: Without graphing, determine whether the function represents exponential growth or decay.
y=5\left(\frac{8}{3}\right)^x
y=23\left(3.03\right)^x
f\left(x\right)=3\left(5\right)^x
y=2\left(\frac{3}{4}\right)^x
Exponential growth
Exponential decay
12 points
12
Question 2
2.
Review Lesson 7-1: Without graphing, find the y-intercept of each exponential function.
y=23\left(3.03\right)^x
y=5\left(\frac{8}{3}\right)^x
f\left(x\right)=3\left(5\right)^x
y=2\left(\frac{3}{4}\right)^x
y-intercept: 2
y-intercept: 23
y-intercept: 3
y-intercept: 5
5 points
5
Question 3
3.
Review Lesson 6-3: Simplify.
Enter only an expression.
5 points
5
Question 4
4.
Review Lesson 6-3: Simplify.
Enter only an expression.
5 points
5
Question 5
5.
Review Lesson 6-3: Simplify.
Enter only an expression.
8 points
8
Question 6
6.
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}\left(x\right)=\sqrt[4]{x}
f^{-1}\left(x\right)=\frac{x+1}{4}
f -1 is a function
f -1 is NOT a function
f\left(x\right)=4x-1
f\left(x\right)=x^4
10 points
10
Question 7
7.
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
10 points
10
Question 8
8.
Use Your Vocabulary: Identify the functions that represent exponential growth. Select all that apply.
