5
51) f(x) = x 3 + 4x 2 - x - 4
(x - 5) 3
41) f(x) = -4 x +
2
y
y
1
x 2 (x 2 - 3)(x + 1)
42) f(x) =
3
43) f(x) = x 3 + x 2 - 20x
x
x
Use the Intermediate Value Theorem to determine whether
the polynomial function has a real zero between the given
integers.
44) f(x) = 9x 3 - 6x 2 + 2x - 7; between 1 and 2
45) f(x) = 2x 4 - 5x 2 - 6; between 1 and 2
52) f(x) = x 3 - 2x 2 - 5x + 6
y
y
46) f(x) = 9x 3 - 10x - 8; between 1 and 2
10
10
Determine the maximum possible number of turning points
5
5
for the graph of the function.
47) f(x) = - x 2 - 8x - 33
x
x
-10
-10
-5
-5
5
5
10
10
48) f(x) = x 2 + 8x 3
-5
-5
49) f(x) = (7x - 2) 3 ( x 3 - 3)(x - 1)
-10
-10
Graph the polynomial function.
53) f(x) = 7x - x 3 - x 5
50) f(x) = x 4 - 4x 2
y
y
10
10
y
y
10
10
8
8
5
5
6
6
4
4
x
x
-10
-10
-5
-5
5
5
10
10
2
2
-5
-5
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
-2
-2
-4
-4
-10
-10
-6
-6
-8
-8
-10
-10
3