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HPC Unit 1 Test Version A REVISED
By Kattie Castineyra
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Last updated over 1 year ago
15 questions
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Question 1
1.
Identify the domain of f(x). Use
inf
for infinity.
(-inf, inf)
(-inf, 4) U (4, inf)
(-inf,-4) U (-4,4) U (4,inf)
(-inf, 16) U (16, inf)
Question 2
2.
Find
f-g
.
2x - 4
2x
4x
4x - 4
Question 3
3.
Which parent function has an inverse that is not a function?
Square Root
Absolute Value
Exponential
Cubic
Question 4
4.
What is the parent function for f(x)?
Absolute Value
Exponential
Square Root
Cubic
Question 5
5.
Identify the absolute maximum of f(x).
(4, -1)
(-4, -1)
(4, 1)
(-4, 1)
Question 6
6.
State the domain in interval notation. Use
inf
for infinity.
Question 7
7.
State the range in interval notation. Use
inf
for infinity.
Question 8
8.
Is the relation a function? Explain your reasoning.
Question 9
9.
Identify the open interval(s) on which the relation is
increasing
. Use
inf
for infinity.
(-inf, -4)
(-4, -2)
(-2, 2)
(2, 4)
(4, 6)
(6, inf)
Question 10
10.
Identify the open interval(s) on which the relation is
decreasing
. Use
inf
for infinity.
(-inf, -4)
(-4, -2)
(-2, 2)
(2, 4)
(4, 6)
(6, inf)
Question 11
11.
Identify the open interval(s) on which the relation is
constant
. Use
inf
for infinity.
(-inf, -4)
(-4, -2)
(-2, 2)
(2, 4)
(4, 6)
(6, inf)
Question 12
12.
Is f(x) even, odd, or neither? Justify your reasoning
algebraically
.
f(x) is even because f(-x) = f(x)
f(x) is odd because f(-x) = -f(x)
f(x) is neither even or odd
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Question 13
13.
The function h(x) has infinite discontinuity at x = 0.
True
False
Question 14
14.
The function h(x) is not bounded below.
True
False
Question 15
15.
The function h(x) is always increasing on its domain.
True
False
