Rational Functions and Their Graphs

What are you trying to find when you plug in 0 for all of your xs?

• horizontal asymptote

• vertical asymptote

• y-intercept

• x-intercept

What are you trying to find when you compare the degrees of your numerator and your denominator?

• horizontal asymptote

• vertical asymptote

• y-intercept

• x-intercept

Where will your horizontal asymptote be if the degree on top is equal to the degree on bottom?

• the x-axis

Where will your horizontal asymptote be if the degree on top is less to the degree on bottom?

• the x-axis

True or false. If your horizontal asymptote is the x-axis, you will not have an x-intercept.

• True

• False

• None

• y = 4/3

• y = -4/3

• y = 3

Match the following

• Where the line crosses the y-axis

• X-Intercept

• Up and Down

• Vertical Asymptote

• Where the line crosses the x-axis

• Horizontal Asymptote

• Side-to-Side

• Y-Intercept

What are the asymptotes? Find VA and HA

• x = -3 y = 1

• x = 3 y = 1

• x = -3 y = -1

• x = 3 y = -1