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WorksheetsAnalysis of Function Graphs
Total questions: 9
Worksheet time: 5mins
Name
Class
Date
1.
Which of the following functions are "even?" Choose all that apply.
a)
f(x)=−x4−7x6+2x2
b)
f(x)=−x−x7+x3
c)
f(x)=9x+x3
d)
f(x)=−x6+x2
e)
f(x)=−9−x5+2x3
2.
x2+y3=1 is symmetric with respect to which of the following?
Choose all that apply.
a)
x-axis
b)
y-axis
c)
the line y = x
d)
the line y = -x
e)
none of those listed
3.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
4.
When is this function increasing?
a)
-2.5 < x < 2.5
b)
0 < x < 5
c)
0 < x < 55
d)
-5 < x < 0
5.
Which statement is true about this graph?
a)
This function is always constant
b)
This function is always increasing
c)
This function is never increasing
d)
This function is both increasing and decreasing
6.
On which interval(s) is the given function increasing?
a)
(-∞, 2) U (-2, ∞)
b)
(-2, 2) U (-2, ∞)
c)
(-∞, -2) U (0.5, ∞)
d)
(0, 2) U (0.5, ∞)
7.
Which ordered pair identifies the *absolute minimum* point on this function?
a)
(-1, 0)
b)
(0, -3)
c)
(1, -4)
d)
(4, 0)
8.
Describe the intervals over which the given function is decreasing.
a)
(-∞, 0) U (2, ∞)
b)
(5, -4) U (2, -3)
c)
(-3, 0) U (2, 3)
d)
(5, -4) U (0, -3)
9.
Which coordinate would qualify as the *absolute maximum* of this function?
a)
∞
b)
(0, 4)
c)
3
d)
(4, 0)
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