Asymptotes and Intercepts

For this graph what is the the y int

What is the domain of the function?

What is the range of the function?

what are the asymptotes for this graph?

What are the asymptotes of this graph?

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.

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.

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

• 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.