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Discontinuities and behavior of graphs

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