Illustrative Math - Algebra 2 - Unit 4 - Lesson 12

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Last updated about 1 year ago
14 Questions
1
1.
Put the following expressions in order from least to greatest.
  1. 2^{2}
  2. e^{2}
  3. e^{e}
  4. e^{3}
  5. 2e
F.LE.4
F.IF.2
F.LE.2
F.LE.5
1
2.
Here are graphs of three functions: f(x)=2^{x}, g(x)=e^{x}, and h(x)=3^{x}.

Which graph corresponds to each function?
arrow_right_alt
F(x)
arrow_right_alt
G(x)
arrow_right_alt
H(x)
F.LE.4
F.IF.2
F.LE.2
F.LE.5
1
3.
Which of the statements are true about the function f given by f(x)=100*e^{-x}? Select all that apply.
F.LE.4
F.IF.2
F.LE.2
F.LE.5
1
4.
1
5.
1
6.
1
7.
The function f is given by f(x)=(1+x)^{\frac{1}{x}}. How do the values of f behave for small positive and large positive values of x?
F.LE.4
F.IF.2
F.LE.2
F.LE.5
1
8.
1
9.
1
10.
1
11.
1
12.
1
13.
1
14.
Clare says that \log_{0.1}=-1. Kiran says that log(-10)=-1.

Do you agree with either one of them? Explain your reasoning.
F.LE.4
F.IF.2
F.LE.2
F.LE.5
This lesson is from Illustrative Mathematics. Algebra 2, Unit 4, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/4/12/index.html ; accessed 27/July/2021.

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