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Concept explainers
For the graph of the function ,
a. Find the domain and the range of .
b. Find the intercepts.
c. Is the graph of symmetric with respect to the , the , or the origin?
d. Find .
e. For what value(s) of is ?
f. Solve .
g. Graph .
h. Graph .
i. Graph .
j. Is even, odd, or neither?
k. Find the interval(s) on which is increasing.
![Check Mark](/static/check-mark.png)
a. The domain and range of .
b. The intercepts.
c. Symmetry
d.
e. When , what is ?
f. Solve
g. Graph
h. Graph
i. Graph
j. Is even, odd or neither.
k. Where is increasing?
Answer to Problem 15CR
Solution:
a. The domain is and the range is .
b. The is at and . The is at .
c. The graph is symmetric about the .
d.
e. When , we have .
f. When , we have .
g. Graph
h. Graph
i. Graph
j. Is even, odd or neither.
k. is increasing in the interval .
Explanation of Solution
Given:
Formula used:
Domain is the set of all (input) values.
Range is the set of all (output) values.
Calculation:
l. The domain is and the range is .
m. The is at and . The is at .
n. The graph is symmetric about the .
o.
p. When , we have .
q. When , we have .
r. Graph
s. Graph
t. Graph
u. Is even, odd or neither.
v. is increasing in the interval .
Chapter 3 Solutions
Precalculus
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