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 Given the functions below:

a) Compare the y-intercepts of f(x) and g(x). Use complete sentences.

b) Compare the vertical asymptotes of f(x) and g(x). Use complete sentences.

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 Feb 5, 2019
 #1
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For   f(x) =   1 /  [x - 3]

 

y intercept.....let x = 0     and we have   1 / [ 0 - 3]  =   -1/3

 

x intercept...let   y = 0 and we have that      0 = 1 / [ x - 3]    multiply both sides by x - 3   and we get that

0 = 1......so.....there is no x intercept

 

Vertical asymptote.....set  x - 3 =  0

Add 3 to both sides

x = 3   ⇒  the vertical asymptote

 

 

 

For  g(x)

 

y intercept =   0

x intercept = 0

Vertical asymptote ⇒  x = 4

 

 

cool cool cool

 Feb 5, 2019

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