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Chapter 1 Review
By Kattie Castineyra
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Last updated almost 2 years ago
26 questions
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Question 25
25.
Question 26
26.
Question 1
1.
Question 2
2.
Is the relation a function? Explain your reasoning.
Question 3
3.
State any interval(s) on which the relation is
increasing
. If there is not one, then just state none. Use
inf
for infinite.
Question 4
4.
State any interval(s) on which the relation is
decreasing
. If there is not one, then just state none. Use
inf
for infinite.
Question 5
5.
State any interval(s) on which the relation is
constant
. If there is not one, then just state none. Use
inf
for infinite.
Question 6
6.
Graph the piecewise function.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 7
7.
a) Find the domain of the function in interval notation.
Question 8
8.
Question 9
9.
c) Find the domain of the function in interval notation.
Question 10
10.
Determine
f + g
.
Question 11
11.
State the domain of
f + g
.
Use
inf
for infinite.
Question 12
12.
Determine
fg
.
Question 13
13.
State the domain of
fg
.
Question 14
14.
Determine
g/f
. Use
/
to get a fraction in typing your response.
Question 15
15.
State the domain of
g/f
.
Use
inf
for infinite.
Question 16
16.
Determine
g(f(x))
.
Question 17
17.
State the domain of
g(f(x))
.
Use
inf
for infinite.
Question 18
18.
Find the inverse of
f(x)
. Use
/
to get a fraction in typing your response.
Question 19
19.
a) Determine whether the inverse of
f(x)
is a function.
Explain your reasoning.
Question 20
20.
b) Determine whether the inverse of
f(x)
is a function.
Explain your reasoning.
Question 21
21.
Use Desmos to graph both
f(x)
and
inverse of f(x)
.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 22
22.
Is f(x) one-to-one? Explain your reasoning.
Question 23
23.
visibility
View drawing
Question 24
24.
visibility
View drawing
Determine the correct equation of the graph in problem 12.
A
B
C
D
State the local extrema for the graph in problem 13.
A
B
C
D
Determine the
domain and range
of the relation. Use
inf
for infinite.
R: [-5, 4]
D: (-inf, -4) U (-4, inf)
R: (-inf, inf)
R: [-5, inf)
D: (-inf, -2) U (-2, inf)
D: (-inf, inf)
b) Choose the correct domain of the function in interval notation. Use
inf
for infinite.
(-inf, inf)
(-inf, 3) U (3, inf)
(-inf, √3) U (√3, inf)
(-inf, -√3) U (-√3, √3) U (√3, inf)
a) Determine whether
f(x)
is even, odd, or neither. Justify your reasoning
algebraically
.
f(x) is an even function because f(-x) = f(x).
f(x) is an odd function because f(-x) = -f(x)
f(x) is neither even or odd
b) Determine whether
g(x)
is even, odd, or neither. Justify your reasoning
algebraically
.
f(x) is an even function because f(-x) = f(x).
f(x) is an odd function because f(-x) = -f(x)
f(x) is neither even or odd
