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4.a Graphs of Polynomial Functions
By Tim Schwickerath
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Last updated about 3 years ago
33 questions
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A 5th degree polynomial has a positive leading coefficient. Identify the following:
1
Question 1
1.
Maximum number of relative maxima/minima.
1
Question 2
2.
Maximum number of x-intercepts.
1
A linear polynomial has a negative leading coefficient. Identify the following:
1
Question 4
4.
Maximum number of relative maxima/minima.
1
Question 5
5.
Maximum number of x-intercepts.
1
A 4th degree polynomial has a negative leading coefficient. Identify the following:
1
Question 7
7.
Maximum number of relative maxima/minima.
1
Question 8
8.
Maximum number of x-intercepts.
1
A quadratic polynomial has a positive leading coefficient. Identify the following:
1
Question 10
10.
Maximum number of relative maxima/minima.
1
Question 11
11.
Maximum number of x-intercepts.
1
Given the equation: y = -2x
3
+ 3x + 1
Identify the following:
1
Question 13
13.
Maximum number of relative maxima/minima.
1
Question 14
14.
Maximum number of x-intercepts.
1
Given the equation: f(x) = 4x - 2 + 5x
7
Identify the following:
1
Question 16
16.
Maximum number of relative maxima/minima.
1
Question 17
17.
Maximum number of x-intercepts.
1
Given the equation: f(x) = 1 + 2x
6
+ x
2
- 2x
6
Identify the following:
1
Question 19
19.
Maximum number of relative maxima/minima.
1
Question 20
20.
Maximum number of x-intercepts.
1
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1
Question 22
22.
What are the interval(s) where the function is increasing?
Write your answers as
with no spaces and reading left to right.
1
Question 23
23.
What are the interval(s) where the function is decreasing?
Write your answers as
with no spaces and reading left to right.
1
1
Question 25
25.
What is the minimum degree of the polynomial?
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1
Question 26
26.
What are the interval(s) where the function is increasing?
Write your answers as
with no spaces and reading left to right.
1
Question 27
27.
What are the interval(s) where the function is decreasing?
Write your answers as
with no spaces and reading left to right.
1
1
Question 29
29.
What is the minimum degree of the polynomial?
zoom_in
1
Question 30
30.
What are the interval(s) where the function is increasing?
Write your answers as
with no spaces and reading left to right.
1
Question 31
31.
What are the interval(s) where the function is decreasing?
Write your answers as
with no spaces and reading left to right.
1
1
Question 33
33.
What is the minimum degree of the polynomial?
Question 3
3.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 6
6.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 9
9.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 12
12.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 15
15.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 18
18.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 21
21.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 24
24.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 28
28.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞
Question 32
32.
End behavior of the polynomial.
As x → -∞, f(x) → ∞
As x → -∞, f(x) → -∞
As x → ∞, f(x) → ∞
As x → ∞, f(x) → -∞