Domain, Range, And Symmetry Worksheet - Calculus Maximus Page 4
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6Calculus Maximus
WS P.5: Domain, Range, & Symmetry
_____ 8. Let f and g be odd functions. If p, r, and s are nonzero functions defined as follows, which must
be odd?
I.
p x
f g x
II.
r x
f x
g x
III.
s x
f x g x
(A) I only
(B) II only
(C) I and II only
(D) II and III only
(E) I, II, and III
2
x
4
x , then
_____ 9. If the function f is continuous for all real numbers and if
f x
when
2
x
2
f
2
(A) 4
(B) 2
(C) 1
(D) 0
(E) 2
3
x
for
x
0,
_____ 10. Let f be the function defined by
f x
Which of the following statements about
x
for
x
0.
f is true?
x
(A) f is an odd function
(B) There is a break in the graph of f at
0
(C) f has no x-intercepts
(D) f is monotonic increasing
(E)
f x
x
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