precalc building functions

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Last updated 9:28 PM on 10/7/26
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7 Terms

1
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vertical asymptote

denominator

2
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holes

on numerator and denominator

3
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horizontal asymptote

multiplier = a

4
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y-intercept

check your work (plug in x, check to see if it is an answer for y. ex: 0,-2))

5
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x-intercept

build numerator

6
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labelled example

= a (x+2)(x-4)/ (x-2)(x-4)

a = multiplier

(x+2) = x-int.

(x-4) = hole

(x-2) = vertical asymptote

7
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crucial steps to work these problems out:

  1. read graph

  2. build denominator and numerator

  3. include multiplier

  4. find a from the horizontal asymptote

  5. check work with the y-intercept