Ws P.3 - Simplifying Expressions And Algebraic Gymnastics Worksheet Page 6
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10Calculus Maximus
WS P.3: Simplifying Expressions
, then
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1
_____ 17. If the function f is defined by
f x
x
1
f
, the inverse function of f, is defined by
1
f
x
1
1
x
x
x
5
5
5
(A)
(B)
(C)
1
(D)
1
(E)
1
x
x
5
5
1
1
a , then the polynomial equation
_____ 18. If a, b, c, d, and e are real numbers and
0
7
5
3
ax
bx
cx
dx e
0
has
(A) only one real root
(B) at least one real root
(C) an odd number of nonreal roots
(D) no real roots
(E) no positive real roots
3
2
_____ 19. What are all values of k for which the graph of
y
x
3
x
k
will have three distinct x-
intercepts?
k
k
k
(A) All
0
(B) All
4
(C)
(D) 0
k
4
(E) All k
0, 4
and
g x , then
g f x
3
2
_____ 20. If
f g x
x
3
x
4
x
5
5
2
3
2
(A)
5
x
15
x
25
(B)
5
x
15
x
20
x
25
(C) 1125
(D) 225
(E) 5
Page 6 of 10
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