Rational Functions

How do we find vertical asymptotes in a rational function?

• Non Removable Zeros in the denominator.

• When x is zero

• Zeros in the numerator

• When the degree of the numerator is one more than the denominator.

• Removable Zeros in the denominator.

Tags

CCSS.HSF-IF.C.7D

When does a slant asymptote occur?

• If the degrees are equal.

• When x is zero

  (plug in x=0)

• When there's Zeros in the numerator.

• When the degree of the numerator is one more than the denominator.

Tags

CCSS.HSF-IF.C.7D

When is there a hole in the graph?

• If a factor in the denominator cancels, it'll cause a hole.

• If a factor in the denominator doesn't cancel.

• If the numerator is a constant.

• If the numerator is zero.

Tags

CCSS.HSF-IF.C.7D

When is there a vertical asymptote in the graph?

• If a factor in the denominator cancels, it'll cause a hole.

• If a factor in the denominator doesn't cancel, it'll cause a vertical asymptote.

• If the numerator is a constant.

• If the numerator is zero.

Tags

CCSS.HSF-IF.C.7D

Select all that are true about Horizontal Asymptotes.

• If the degree of the numerator is larger, there is no Horizontal Asymptote.

• If the degree of the denominator is larger, there is a H.A. at y=0.

• If the degree of the numerator is larger, there is a H.A. at y=0.

• If the degrees of the numerator and denominator equal, then there's an asymptote at y=a/b.

  (a and b are the leading coeff.)

• If the degree of the numerator is equal to the denominator's there's a H.A. at y=1

Tags

CCSS.HSF-IF.C.7D

How do you find the x-intercepts in a rational function?

• Zeros in the denominator.

• When x is zero

  (plug in x=0)

• Zeros in the numerator

• When the degree of the numerator is one more than the denominator.

Tags

CCSS.HSF-IF.C.7D

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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Tags

CCSS.HSF-IF.C.7D

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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Tags

CCSS.HSF-IF.C.7D

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1

• y = 9

Tags

CCSS.HSF-IF.C.7D

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

Tags

CCSS.HSF-IF.C.7D