Asymptotes and Intercepts

For this graph what is the the y int

Tags

CCSS.HSF-IF.C.7D

What is the domain of the function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

what are the asymptotes for this graph?

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What are the asymptotes of this graph?

Tags

CCSS.HSF-IF.C.7D

How do you find the x-intercept(s) for a rational function?

• Divide numerator by denominator.

• Evaluate f(0)

• Set the denominator = 0 and solve.

• Set the numerator = 0 and solve.

Tags

CCSS.HSF-IF.C.7D

How do you find the y-intercept for a rational function?

• Divide numerator by denominator.

• Evaluate f(0).

• Set the denominator = 0 and solve.

• Set the numerator = 0 and solve.

Tags

CCSS.HSF-IF.C.7D

• All Real #s;  x ≠ 1
• All Real #s;  x = −1
• All Real #s;  x ≠ -2
• x ≠ −2

Tags

CCSS.HSF-IF.C.7D

• The degree of the numerator is greater than the degree of the denominator. "Top-heavy"

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is less than the degree of the denominator. "Bottom-heavy"

• Rational functions can never have horizontal asymptotes at y=0.

Tags

CCSS.HSF-IF.C.7D