Calculus Maximus
WS P.6: Fun with Functions
a , then the polynomial equation
_____ 4. 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
and if
f
?
3
2
_____ 5. If
f x
2
x
Ax
Bx
5
f
2
3
and
2
37
, what is the value of A B
(A) 6
(B) 3
(C) 1
(D) 2
(E) cannot be determined from given info
gives a remainder
3
2
p x
x
1
_____ 6. Dividing the polynomial
f x
x
3
x
12
by the polynomial
of what?
(A) 0
(B) 10
(C) 10
(D) 8
(E) none of these
3
x
2
x .
1
_____ 7. Find the inverse of the function
f x
, where
0
f
x
x
1
x
x
2
(A)
(B)
(C)
(D)
(E) none of these
x
x
x
3x
2
3
2
3
3
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