Key Parts of Rational Graphs

• (3, 0)

• (-3, 0)

• (2, 0)

• (-2, 0)

• x = 2

• x = -2

• x = 3

• x = -3

• none

• y = 0

• y = 1

• y = 3/2

• TRUE

• FALSE

• nothing...

• RANGE

• all real numbers

• DOMAIN

• Range

• none

• Vertical Asymptote

• (2, 0)

• Hole

• Domain

• (-5, -3)

• x-intercept

• (9, 0)

• (-3, 0)

• (3, 0)

• none

• x = 9

• x = -3

• x = 3

• none

• x = 0

• x = -3

• x = 9

• x = 1

Evaluate responses using AI:

OFF

Answer explanation

The hole is at (-3, -.167). The x-value of the hole is from the terms that cancel out. In this case, it's -3. Then you plug that x-value into the original function to solve for the y-value.