8.4 Horizontal Asymptotes

When finding the Horizontal asymptotes of a function, you should be thinking...

• "Set Bottom = to Zero"
• "Top = 0"
• "f(0)"
• "Look at the Degree of the top and bottom..."

Tags

CCSS.HSF-IF.C.7D

What is the equation of the horizontal asymptote of the given function?

• y = 2

• x = -2

• There isn't one

• y = 5

Tags

CCSS.HSF-IF.C.7D

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

Tags

CCSS.HSF-IF.C.7D

In determining what the horizontal asymptote is you should:

• Divide the numerator and the denominator

• Subtract the degree in the numerator from the denominator

• Compare the degree in the numerator (N) and the degree in the denominator (D)

• Solve the denominator for zeor

Tags

CCSS.HSF-IF.C.7D

Select all that are correct.

• If the degree of the numerator is greater than the degree of the denominator by more than one, the graph has no horizontal asymptote.(none)

• If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is the ratio of the two leading coefficients.(y = #)

• If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is zero. (y = 0)

• If the degree of the numerator is greater than the degree of the denominator by one, there is an oblique asymptote. The asymptote is the quotient numerator divided by the denominator.

Tags

CCSS.HSF-IF.C.7D

If the degree of the numerator is 3 and the degree, of the denominator is 2, the horizontal asymptote will be:

• Does Not Exist

• where y is the ratio of the leading coefficients

• y = 0 (or the x-axis)

Tags

CCSS.HSF-IF.C.7D

If the degree of the numerator is 2 and the degree, of the denominator is 3, the horizontal asymptote will be:

• Does Not Exist

• where y is the ratio of the leading coefficients

• y = 0 (or the x-axis)

Tags

CCSS.HSF-IF.C.7D

If the degree of the numerator is 2 and the degree, of the denominator is 2, the horizontal asymptote will be:

• Does Not Exist

• where y is the ratio of the leading coefficients

• y = 0 (or the x-axis)

Tags

CCSS.HSF-IF.C.7D