Cc-26 Polynomial Functions Examples And Worksheet - Common Core Page 6
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5
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7
8Lesson Check
MATHEMATICAL
Do you know
HOW?
Do you
UNDERSTAND?
PRACTICES
5.
Vocabulary
Classify each polynomial by degree and by number
Describe the end behavior of the graph
7
of terms.
of y = -2x
- 8x.
3
2
1. 5x
2. 6x
+ 4x - 2
6.
Reasoning
Can the graph of a polynomial function
be a straight line? If so, give an example.
Write each polynomial in standard form.
7.
Error Analysis
Your friend claims the graph of the
2
3
3. 7x + 3 + 5x
4. -3 + 9x
function y = 4x
+ 4 has only one turning point.
Describe the error your friend made and give the
correct number of turning points.
MATHEMATICAL
Practice and Problem-Solving Exercises
PRACTICES
A
Practice
See Problem 1.
Write each polynomial in standard form. Then classify it by degree and by
number of terms.
2
8. 7x + 3x + 5
9. 5 - 3x
10. 2m
- 3 + 7m
3
4
2
2
3
11. -x
+ x
+ x
12. -4p + 3p + 2p
13. 5a
+ 3a
+ 1
5
4
3
3
14. -x
15. 3 + 12x
16. 6x
- x
3
3
3
2
2
4
2
- 10x
+ x
18. 4x + 5x
+ 8
- x
+ 2x
17. 7x
19. x
See Problem 2.
Determine the end behavior of the graph of each polynomial function.
3
2
2
3
6
20. y = -7x
+ 8x
+ x
21. y = -3x + 6x
- 1
22. y = 1 - 4x - 6x
- 15x
11
9
6
5
7
9
5
8
23. y = 8x
- 2x
+ 3x
+ 4
24. y = -x
- 15x
- 4x
25. y = -3 - 6x
- 9x
4
2
7
6
6
5
26. y = x
- 7x
+ 3
27. y = -8x
+ 16x
+ 9
28. y = -14x
+ 11x
- 11
3
2
3
7
10
29. y = -x
- x
+ 3
30. y = x
- 14x - 4
31. y = 5 - 17x
+ 9x
Describe the shape of the graph of each cubic function including end behavior,
See Problem 3.
turning points, and increasing/decreasing intervals.
3
3
2
3
32. y = 3x
- x - 3
33. y = -9x
- 2x
+ 5x + 3
34. y = 10x
+ 9
3
3
2
3
35. y = 3x
36. y = -4x
- 5x
37. y = 8x
See Problem 4.
Determine the degree of the polynomial function with the given data.
38.
39.
–2
–1
0
1
2
–2
–1
x
0
1
2
x
y
y
–15
–9
– 9
–9
–3
16
7
2
1
4
123
Lesson H-8 Polynomial Functions
123
CC-26 Polynomial Functions
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