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General Mathematics - Activity 3

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  • Complete the statement: An ______________ is an imaginary line to which a graph gets closer and closer as the x or y increases or decreases its value without limit.
    ASYMPTOTE
  • Find the zeroes:
    the zeroes is/are x = -1
  • Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: An intercept is a line (or a curve) that the graph of a function gets close to but does not touch.
    FALSE - ASYMPTOTE
  • Find the y-intercept:
    the y-intercept is y = -1/3 (0,-1/3)
  • Find the horizontal asymptote:
    The horizontal asymptote is y = 1
  • Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: To determine the vertical asymptote of a rational function, find the zeroes of the numerator.
    FALSE - denominator
  • Find the x-intercept:
    The x-intercept is x = -1 (-1,0)
  • Find the vertical asymptote:
    The vertical asymptote is x = -5/2
  • Complete the statement: ______________ of the graph of a rational function are the points of intersection of its graph and an axis.
    INTERCEPTS
  • Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: If n > d, there is no horizontal asymptote.
    TRUE
  • Complete the statement: ________________ of the graph of a rational function r(x), if it exists, occurs at the zeros of the numerator that are not zeros of the denominators. To find ____________ equate the function to ___________.
    X-INTERCEPT ; X-INTERCEPT ; ZERO
  • Find the vertical asymptote:
    The vertical asymptote is x = -3
  • Complete the statement: If n < d, the horizontal asymptote is ___________.
    ZERO (0)
  • Find the zeroes:
    The zeroes is/are x = 9
  • Complete the statement: ______________ of a function are the values of x which make the function zero. The numbered zeroes are also ______________ of the graph of the function.
    ZEROES OF A FUNTION ; X-INTERCEPT
  • Find the x-intercept:
    The x-intercept is x = 9 (9,0)
  • Find the y-intercept:
    the y-intercept is y = -3 (0,-3)
  • Tell whether each of the following is true or false. If the statement is wrong change the underlined word to make it correct. GIVEN: If n < d, the vertical asymptote is y = 0.
    FALSE - HORIZONTAL ASYMPTOTE
  • Complete the statement: An oblique asymptote is a line that is ______________________.
    NEITHER VERTICAL NOR HORIZONTAL
  • Find the horizontal asymptote:
    The horizontal asymptote is y = 0.
  • Complete the statement: To determine the _______________ of a rational function, compare the degree of the numerator n and the degree of the denominator d.
    HORIZONTAL ASYMPTOTE