Illustrative Math - Algebra 2 - Unit 5 - Lesson 9

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Last updated about 1 year ago
13 Questions
1
1.
Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).
F.BF.3
F.IF.4
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2.
Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).
F.BF.3
F.IF.4
1
3.
Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).
F.BF.3
F.IF.4
1
4.
Here are graphs of functions f and g. For each, determine the value of k so that g(x)=f(kx).
F.BF.3
F.IF.4
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5.
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8.
A bacteria population, in thousands, is modeled by the function f(d)=30*2^{d} where d is the number of days since it was first measured. The function g gives the bacteria population, in thousands, w weeks after it was first measured.

Express g in terms of f. Explain your reasoning.
F.BF.3
F.IF.4
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9.
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12.
Here is the graph of a function f.
Reflecting f across the x-axis and then across the vertical line y=1 takes the graph of f back to itself. Tyler says that this means f is an odd function.

Do you agree with Tyler? Explain your reasoning.
F.BF.3
F.IF.4
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13.
The population of sloths in an area has been increasing by 5% each year since 2000. Let P model the population P(t), in thousands, of sloths years after the year 2000. The graph of p(t)=1.05^{t} has a general shape that fits the data.

Find a scale factor k so that P(t)=kp(t) fits the data.
F.BF.3
F.IF.4
This lesson is from Illustrative Mathematics. Algebra 2, Unit 5, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/5/9/index.html ; accessed 27/July/2021.

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