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Graded Assignment MTH303A/304A: Algebra II | Unit 3 | Lesson 12: Functions Unit Test
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Graded Assignment
Unit Test, Part 2: Functions
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for full credit.
(8 points)
1. Draw the graph of the function for the domain
.
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(12 points)
2. Consider the function .
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a. Find the inverse of f(x) and name it g(x). Show and explain your work.
b. Use function composition to show that f(x) and g(x) are inverses of each other.
c. Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.
(8 points)
3. A swimmer floats on the surface of a completely filled 10-foot deep pool for 5 seconds. He then takes 3
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seconds to swim to the bottom of the pool and 2 seconds to return to the surface, where he then floats for another 5 seconds. After that, his watch slips off and he swims halfway to the bottom to grab it. It took him 1 second to grab the watch and another 1 second to swim back to the surface. Draw a graph that models the swimmer’s depth below the water’s surface over time.
(10 points)
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Score |
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4. Given the functions of and which intervals contain a value of x for which
Show all of your work and select all that apply
☐ A.
☐ B.
☐ C.
☐ D. 1
☐ E.
(8 points)
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5. The functions f and g by and respectively. Rewrite the function in terms of x. Show all of your work.
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Your Score |
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© 2009 K12 Inc. All rights reserved. Page 1 of 1
Copying or distributing without K12’s written consent is prohibited.
Graded
Assignment
MTH303A
/304A
: Algebra II | Unit
3
| Lesson
12
:
Functions Unit Test
© 200
9
K12 Inc. All rights reserved.
Page
1
of
1
Copying or
distributing without K12’s written consent is prohibited.
Graded
Assignment
Unit Test, Part 2
:
Functions
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
(
8
points)
1.
Draw the graph of the function
for the domain
.
(12
points)
2.
Consider the function
.
a.
Find the inverse of
f
(
x
) and name it
g
(
x
). Show and explain your work.
b.
Use function composition to show that
f
(
x
) and
g
(
x
) are inverses of
each other.
c.
Draw the graphs of
f
(
x
) and
g
(
x
) on the same coordinate plane. Explain how your graph shows
that the functions are inverses of each other.
Score
Score
Graded Assignment MTH303A/304A: Algebra II | Unit 3 | Lesson 12: Functions Unit Test
© 2009 K12 Inc. All rights reserved. Page 1 of 1
Copying or distributing without K12’s written consent is prohibited.
Graded Assignment
Unit Test, Part 2: Functions
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
(8 points)
1. Draw the graph of the function for the domain .
(12 points)
2. Consider the function .
a. Find the inverse of f(x) and name it g(x). Show and explain your work.
b. Use function composition to show that f(x) and g(x) are inverses of each other.
c. Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows
that the functions are inverses of each other.
Score
Score
