Algebra 222 week 5 Quiz

Algebra 222 week 5 Quiz

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Week 5: Functions, Date Submitted: 11/03/2014 (Started On: 11/02/2014)
1. Inverse functions: Problem type 1
The one-to-one functions g and h are defined as follows.

=g−4, 8, −2, 4, −1, 9, −9, 4

=hx−3x4
Find the following.

g−19
=

h−1x
=

∘h−1h−1
=

You answered:

g−19
=
0

h−1x
=
1

∘h−1h−1
=
−1

Your answer is incorrect.

The correct answer is:

g−19
=
−1

h−1x
=
+x43

∘h−1h−1
=
−1

2. Domain and range from ordered pairs
Suppose that the relation
H
is defined as follows.
=H9, 0, −1, 8, 9, 4, −7, 1
Give the domain and range of
H
.
Write your answers using set notation.

You answered correctly: domain = −9,1,9,7

range
= −0,8,4,1
3. Sum, difference, and product of two functions
Suppose that the functions g and h are defined for all real numbers x as follows.
=gx+x6

=hx4x2
Write the expressions for
·ghx
and
−ghx
and evaluate
+gh−1
.
·ghx

−ghx

+gh−1

You answered:
=·ghx+4x324x2

=−ghx+4x2+x6

=+gh−19

Your answer is incorrect.
−ghx
: Your answer is incorrect.

The correct answer is:
=·ghx+4x324x2

=−ghx+−4x2+x6

=+gh−19
4. Composition of two functions: Basic
Suppose that the functions u and w are defined as follows.
=ux+−x2

=wx+x21
Find the following.
∘wu−1

∘uw−1

You answered correctly:
=∘wu−110

=∘uw−10
5. Domain and range from the graph of a continuous function
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation. x -1
-2
-3
-4
-5
1
2
3
4
5
y
-1
-2
-3
-4
-5
1
2
3
4
5

The correct answer is: domain =(−2, 5]

range
=[-3,3}
6. Evaluating a piecewise-defined function
Suppose that the function f is defined , for all real numbers, as follows.
=fx

−−12x2
≤if x−2

+x12
<−if 2<x1

3
≥if x1
Find the following. f−4 f−2

f0

The correct answer is:
=f−40

=f−2−1

=f01
7. Identifying functions from relations
For each relation, decide whether or not it is a