Rational Expressions Graphing

How do you find the x intercepts of a rational function?

• Find the zeros of the denominator.

• Compare the power of the numerator to the power of the denominator.

• Find the zeros of the numerator.

• Find the lead coefficient of the numerator over the lead coefficient of the denominator.

• HA at y = 0

• HA at y = -2

• VA at x = -2

• No Holes

Which of the following statementS are true about the following function: (Choose all answers that apply)

• Hole at x = 0

• No HA

• VA at x = 1

• VA at x = -1

What is the y-intercept for this rational function?

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

• vertical

• horizontal

• end behavior

• none

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

Describe the transformation of the function.

• shift left 3 units

• shift right 3 units

• shift up 3 units

• shift down 3 units

Describe the transformation of the function.

• shift right by 3 units

• shift left by 3 units

• shift up by 3 units

• shift down by 3 units

• y=⅓

• y=0

• None

• y=3

The steps to graphing a rational expression, in order, are:

• Simplify the expression

• Find the x-intercepts

• Determine the vertical asymptotes

• Determine the horizontal asymptote

• Identify any holes in the graph.