Intercepts
Determine the y-intercept
f(x) = x3 + 5x2 + 44x + 125
(0, 125)
Determine the degree of the following polynomial:
f(x) = 7x5 + 4
5
Which graph best fits the polynomial
f(x) = (x-2)(x-4)2
1
What is the end behavior of the following polynomial?
f(x) = 3x3 + 2x
As x -> ∞, y -> ∞
As x -> -∞, y -> -∞
Determine the y-intercept
f(x) = 7x2 + 4x4 - 3x5 - 11 + 14x
(0, -11)
Determine the degree of the following polynomial:
f(x) = 7x3 + x4 - 3x5 + 17x2 - 9x9 + 4
9
Which graph best fits the polynomial:
f(x) = (x-2)2(x+4)2
3
What is the end behavior of the following polynomial?
f(x) = 9x4 + 2x3 -2
As x -> ∞, y -> ∞
As x -> -∞, y -> ∞
Determine the x-intercept(s)
f(x) = (x-4)3(x-2)4(x+5)
(-5, 0), (2, 0), (4, 0)
Determine the degree of the following polynomial:
f(x) = (x-3)3(x+4)2(x-9)5(x-4)2
11
Which polynomial best fits the graph:
A. f(x) = -(x+4)(x+1)(x+5)2
B. f(x) = -(x-4)(x-1)(x-5)2
C. f(x) = -(x-4)(x-1)(x-5)
D. f(x) = (x-4)(x-1)(x-5)2
B. f(x) = -(x-4)(x-1)(x-5)2
What is the end behavior of the following polynomial?
f(x) = -(x-1)2(x-5)(x-6)3
As x -> ∞, y -> -∞
As x -> -∞, y -> -∞
Determine the x-intercept(s)
f(x) = (2x - 1)²(x-4)⁴(5x - 10)
(1/2, 0), (4, 0), (2, 0)
Determine the degree of the following polynomial:
f(x) = (x-2)(x-4)(x-6)(x+2)(x-7)2
6
Which polynomial best fits the graph:
A. f(x) = 3x3 + 6x2 + x + 5
B. f(x) = 3x4 + 6x3 + x
C. f(x) = -3x3 + 6x2 + x
D. f(x) = 3x3 + 6x2 + x
D. f(x) = 3x3 + 6x2 + x
What is the end behavior of the following polynomial?
f(x) = -(x-3)(x-2)7(x-4)(x-11)14
As x -> ∞, y -> -∞
As x -> -∞, y -> ∞
Determine all intercepts for the following graph:
x-intercepts: (-4, 0), (-2, 0), (1, 0), (3, 0)
y-intercepts: (0, 24)
Determine the lowest possible degree of the following polynomial:
5
Which two polynomials could this graph possibly be based off of the given information in the equations?
A. f(x) = 7x4 + 4x3 + 2x + 3
B. f(x) = 5x5 + 8x4 + x - 3
C. f(x) = x3 + 3x2 - x + 3
D. f(x) = 9x6 + 8x4 + 3x + 3
E. f(x) = 7x4 + 4x3 + 2x - 3
A and D
What is the end behavior of the following polynomial?
f(x) = 4x7 - 3x6 - 5x5 - x4 - 3x32 + 12x2 + x + 1
As x -> ∞, y -> -∞
As x -> -∞, y -> -∞