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WorksheetsEngage: Polynomial Functions
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
The function shown has:
a)
Degree two with negative leading coefficient.
b)
Degree three with negative leading coefficient.
c)
Degree four with negative leading coefficient.
d)
Degree four with positive leading coefficient.
2.
What are the x-intercepts of the following function?
y = 2(x - 1)(x +3)(x - 4)
y = 2(x - 1)(x +3)(x - 4)
a)
1, 3 and 4
b)
2, 1, -3, and 4
c)
-1, 3, and -4
d)
1, -3, and 4
3.
Function: y = -3x4 +2x2 - 8x + 9.
As x approaches infinity, what does y approach?
a)
positive infinity
b)
negative infinity
c)
0
d)
-3
4.
Which of the following helps determine end behavior?
a)
The leading coefficient
b)
The number of terms in the function
c)
The y-intercept
d)
The x-intercepts
5.
a)
The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
b)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
c)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
d)
The end behavior of the graph is The end behavior of the graph is x →∞,y→⁻∞ and x→∞, y→⁻∞
6.
a)
The end behavior of the graph is x →∞, y→∞ and x→∞, y→⁻∞
b)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→∞
c)
The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0
d)
The end behavior of the graph is x →∞,y→∞and x→⁻∞, y→⁻∞
7.
Describe the end behavior of
f(x) = 2x2 + 6x5 + 10x
f(x) = 2x2 + 6x5 + 10x
a)
Left side: Rises
Right side: Rises
Right side: Rises
b)
Left side: Falls
Right side: Rises
Right side: Rises
c)
Left side:Rises
Right side: Falls
Right side: Falls
d)
Left side: Falls
Right side: Falls
Right side: Falls
8.
Which of the following could be an equation for the function shown?
a)
y=x(x+2)(x-1)
b)
y=x(x-2)(x+1)
c)
y=-3x(x+2)(x-1)
d)
y=-2x(x-2)(x+1)
9.
Which of the following is NOT a solution to f(x)=3x(x-8)(2x+1)2?
a)
0
b)
-1/2
c)
1/2
d)
8
10.
Which function has this end behavior?
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
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