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Discontinuities and behavior of graphs
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How many discontinuities are there in this function?
4
Write the polynomial equation of least degree for this graph.
f(x) = (x + 3)^2 (x-1)
Write the polynomial equation of least degree for this graph
f(x) = x (x+1)(x-2)
What are the zeros of this function?
-1, 2, 3
What is the least degree this polynomial could be?
fourth
Determine if the degree is odd or even and if the leading coefficient is positive or negative.
even, negative
Determine if the degree is odd or even and if the leading coefficient is positive or negative.
odd, positive
Determine if the degree is odd or even and if the leading coefficient is positive or negative.
even, positive
Determine if the degree is odd or even and if the leading coefficient is positive or negative.
odd, negative
Describe the end behavior of the following function:
v ^
Describe the end behavior of the following function:
^^
Describe the end behavior of the following function:
^ v
Describe the end behavior of the following function:
v v
Describe the end behavior of the following function
v ^
Write the polynomial of least degree given zeros of 0, 0, -1
f(x) = x^2(x+1)
Write the polynomial of least degree given zeros of -3, -1/3, 5
f(x) = (x+3)(x + 1/3)(x-5)
How many discontinuities are there in this graph?
3
How many discontinuities are there in this function?
4
What type of discontinuity exists at x = 1.25 ?
Removeable
What type of discontinuity exists at x = 8 ?
Point/Removeable
What type of discontinuity exists at x = 0 ?
none
What type of discontinuity exists at x = -2 ?
Jump
What type of discontinuity exists at x=2?
Essential/Infinite/Asymptote
What type of discontinuity exists at x = 0 ?
Jump
What type of discontinuity exists at point x = 2 ?
none
What type of discontinuity exists at point a?
Jump
What type of discontinuity exists at point a?
Removable/Point
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