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Algebra : Graphing Functions

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Can you please assist me with the problems listed below?

P. 237

1. a) #6, b) #18
2. a) #22, b) #24
3. a) #32, b) #46

P.253

4. a) #1, b) #2, c) #3. d_ #4
5. a) #10, b) #12
6. a) # 28, b) #30
7. P.260, Matched Problem 1

P.271

8. # 2 - 22 (Even #s)
9 a) # 24, b) #36
10. a) #50, b) #78

Solution Summary

Many questions related to the graphing of functions are answered in detail. Graph drawings are included. Questions relate to domains, ranges, extrema, vertices, axes and one-to-one functions.

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P237
A

6. Domain
Range
X intercepts: None
Y intercepts: 2
Interval over which f is increasing :
Interval over which f is decreasing: None
Interval over which f is constant: [-3,3]
Discontinuity: x= -3.
Note: Since I don't know which points ( (-3,-2) or (-3,2) ) are closed or open.
If (-3,2) is closed, then the interval over which f is constant is [-3,3];
If (-3,2) is open, then the interval over which f is constant is (-3,3];

B.
18.

22.
The axis: x=2
Vertex: (2,4)
Maximum: f(x)=4
No minimum
Range:

24.
The axis: x=3
Vertex: (3,-4)
No Maximum
Minimum: -4
Range:
...

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• BSc , Wuhan Univ. China
• MA, Shandong Univ.
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