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
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