Match Rational

The vertical asymptotes of a rational function are found by finding the zeros of the factors in the ___________.

The x-intercept(s) of a rational function are found by solving for the zeros of the factors in the _________.

Match the various types of rational functions with their horizontal asymptotes:

• No horizontal asymptote

• degree top = degree bottom

• degree top < degree bottom

• degree top > degree bottom

If a rational function has 3 vertical asymptotes, how many pieces of graph will there be?

• 1

• 2

• 3

• 4

The graph of a rational function will cross ​the x-axis at a zero with an ​ (a)   multiplicity and will ​ touch the x-axis at a zero with an (b)   multiplicity.

• odd

• even

• positive

• negative

The ​ (a)   of the factors for vertical asymptotes can be determined by the way the graph behaves on either side. If the graph goes in opposite​ directions, then the factor must be ​ (b)   . If the graph goes in ​the same directions, then the factor must be ​ (c)   .

• multiplicity

• even

• x-intercept

• positive

• negative

• odd

The role of the horizontal asymptote in a rational function is to determine ___ ________.

(2 words, first word starts with "e")

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