Asymptote and Intercepts

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 functions domain is All Reall #s
• There is a vertical asymptote at  y = −2
• There is a vertical asymptote at  x = −2
• The function is reflected across the x-axis

What is the horizontal asymptote of the function given?

• y = 1

• x = 1

• x = 2

• y = 2

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none