4.a Graphs of Polynomial Functions
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Last updated almost 3 years ago
33 questions
A 5th degree polynomial has a positive leading coefficient. Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
A linear polynomial has a negative leading coefficient. Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
A 4th degree polynomial has a negative leading coefficient. Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
A quadratic polynomial has a positive leading coefficient. Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
Given the equation: y = -2x3 + 3x + 1
Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
Given the equation: f(x) = 4x - 2 + 5x7
Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
Given the equation: f(x) = 1 + 2x6 + x2 - 2x6
Identify the following:
1
Maximum number of relative maxima/minima.
Maximum number of relative maxima/minima.
1
Maximum number of x-intercepts.
Maximum number of x-intercepts.
1
End behavior of the polynomial.
End behavior of the polynomial.
1
What are the interval(s) where the function is increasing? Write your answers as
What are the interval(s) where the function is increasing?
Write your answers as
with no spaces and reading left to right.
1
What are the interval(s) where the function is decreasing? Write your answers as
What are the interval(s) where the function is decreasing?
Write your answers as
with no spaces and reading left to right.
1
End behavior of the polynomial.
End behavior of the polynomial.
1
What is the minimum degree of the polynomial?
What is the minimum degree of the polynomial?
1
What are the interval(s) where the function is increasing? Write your answers as
What are the interval(s) where the function is increasing?
Write your answers as
with no spaces and reading left to right.
1
What are the interval(s) where the function is decreasing? Write your answers as
What are the interval(s) where the function is decreasing?
Write your answers as
with no spaces and reading left to right.
1
End behavior of the polynomial.
End behavior of the polynomial.
1
What is the minimum degree of the polynomial?
What is the minimum degree of the polynomial?
1
What are the interval(s) where the function is increasing? Write your answers as
What are the interval(s) where the function is increasing?
Write your answers as
with no spaces and reading left to right.
1
What are the interval(s) where the function is decreasing? Write your answers as
What are the interval(s) where the function is decreasing?
Write your answers as
with no spaces and reading left to right.
1
End behavior of the polynomial.
End behavior of the polynomial.
1
What is the minimum degree of the polynomial?
What is the minimum degree of the polynomial?