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