Domain, Range, And Symmetry Worksheet - Calculus Maximus Page 3
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6Calculus Maximus
WS P.5: Domain, Range, & Symmetry
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_____ 4. If
, find the domain of F.
F x
( )
x
x
2
x
x
2
x x
x x
(A)
D
:
0
(B)
D
:
0
(C)
D
:
x
0
x
2
F
F
F
(D)
D
:
x x
0 and
x
2
(E)
D
:
x x
is a real number
F
F
2
_____ 5. The domain of the function defined by
g x
ln
x
4
is the set of all real numbers x such that
x
x
x
x
(A)
2
(B)
2
(C)
2
(D)
2
(E) x is a real number
is symmetric to which of the following?
2
2
_____ 6. The graph of
y
x
9
I.
The x-axis
II. The y-axis
III. The origin
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II, and III
2
x
4
______ 7. What is the domain of the function f given by
f x
?
x
3
x x
x x
x x
(A)
:
3
(B)
:
2
(C)
:
2
(D)
x x
:
2 and
x
3
(E)
x x
:
2 and
x
3
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