CH 3 QUIZ
K= 18
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
____
____
____
1. Which of the following statements about a polynomial function is false?
a. A polynomial function of degree n has at most n turning points.
b. A polynomial function of degree n may have up to n distinct zeros.
c. A polynomial function of odd degree may have at least one zero.
d. A polynomial function of even degree may have no zeros.
2. If the leading coefficient of an odd-degree polynomial function is positive, then the function extends from the
third quadrant to the first quadrant; that is, as
a.
,
and as
,
b.
,
and as
,
c.
,
and as
,
d.
,
and as
,
3. The degree of a polynomial provides information about all of the following except:
a. the shape of the graph
c. the turning points of the graph
b. the end behaviours of the graph
d. the zeros of the graph
4. What is the degree and lead coefficient of
?
a. degree 1 with a lead coefficient of –1
c. degree 3 with a lead coefficient of –6
b. degree 3 with a lead coefficient of –1
d. degree 6 with a lead coefficient of –1
5. Using end behaviours, turning points, and zeros, determine the polynomial equation that represents the graph
shown below.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
c.
b.
d.
____
6. Which polynomial function would have the end behaviour of as
a.
c.
b.
d.
,
____
7. What is the maximum number of turning points that the polynomial function
can have?
a. 0
c. 3
b. 2
d. 6
?
____
8. If any of the linear factors of a polynomial function are squared, then which of the following is not true of the
corresponding x-intercepts?
a. The x-intercepts are turning points of the curve.
b. The x-axis is tangent to the curve at these points.
c. The graph passes through the x-axis at these points.
d. The graph has a parabolic shape near these x-intercepts.
____ 9. If any of the linear factors of a polynomial function are cubed, then which of the following is not true of the
corresponding x-intercepts?
a. The x-intercepts are turning points of the curve.
b. The x-axis is tangent to the curve at these points.
c. The graph passes through the x-axis at these points.
d. The graph has a cubic shape near these x-intercepts.
____ 10. What is the equation of the graph shown below?
y
15
12
9
6
3
–5
–4
–3
–2
–1
–3
1
2
3
4
x
5
–6
–9
–12
–15
a.
b.
c.
d.
____ 11. Which graph is a possible sketch of the function
y
a.
c.
–10 –8
–6
–4
?
y
625
125
500
100
375
75
250
50
125
25
–2
–125
–250
2
4
6
8
10
x
–10 –8
–6
–4
–2
–25
–50
–375
–75
–500
–100
–625
–125
2
4
6
8
10
x
y
b.
y
d.
96
625
80
500
64
375
48
250
32
125
16
–10 –8
–6
–4
–2
–16
2
4
6
8
10
x
–10 –8
–6
–4
–32
–2
–125
2
4
6
8
x
10
–250
–48
–375
–64
–80
–500
–96
–625
____ 12. Which equation is a quartic function with zeros at –4, –1, 2, 3?
a.
c.
b.
d.
____ 13. Which of the following statements about the function
is not true?
a. The value of a represents a vertical stretch/compression.
b. The value of d represents a horizontal translation.
c. The value of k represents the maximum or minimum of the function.
d. The value of c represents a vertical translation.
____ 14. What is the parent function of
a.
b.
?
c.
d.
____ 15. Describe the transformations that were applied to
a.
horizontally stretched by a factor of
to create
.
, horizontally translated 3 units to the left, and
vertically translated 2 units down
b.
horizontally stretched by a factor of
, horizontally translated 3 units to the left, and
vertically translated 2 units down
c.
horizontally stretched by a factor of 3, horizontally translated
units to the left, and
vertically translated 2 units down
d.
horizontally stretched by a factor of
, horizontally translated 2 units to the right, and
vertically translated 3 units up
____ 16. Determine the x-intercept(s) of the function
.
a. 2
c. –5, 5
b. –5
d. –2, 2
____ 17. Determine which function represents the graph shown below without graphing the function.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
b.
c.
d.
____ 18. Without graphing,.determine which function represents the graph shown below.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
b.
c.
d.
CH 3 QUIZ
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
ANS:
ANS:
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ANS:
ANS:
A
C
B
C
D
B
D
C
A
A
A
B
C
B
A
B
D
A
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