3 Rational Graph Properties

How do I find a Root (x-intercept)?

• set top = 0

• set bottom = 0

• compare top and bottom

• plug in 0 for x and simplify

If the top = bottom, the HA ...

• slant asymptote

• HA @ y = 0

• compare top and bottom

What does a removeable discontinuity look like?

• hole

• vertical asymptote

• a vertical mismatch in pieces of the graphs

• x - intercept

How do I find a Vertical Asymptote?

• set top = 0

• set bottom = 0

• compare top and bottom

• plug in 0 for x and simplify

Where do I find a Root on the graph?

• crosses the x-axis

• line the graph does not cross or touch

• crosses the y-axis

• open circle

What does an infinite discontinuity look like?

• hole

• vertical asymptote

• a vertical mismatch in pieces of the graphs

• x - intercept

What is another word for a Root?

• hole

• vertical asymptote

• a vertical mismatch in pieces of the graphs

• x - intercept

Where do I find a hole on the graph?

• crosses the x-axis

• line the graph does not cross or touch

• crosses the y-axis

• open circle

If the top > bottom, the graph has a...

• slant asymptote

• HA @ y = 0

• compare top and bottom

• HA @ y = coefficient/coefficient

Where do I find a y-intercept on the graph?

• crosses the x-axis

• line the graph does not cross or touch

• crosses the y-axis

• open circle