Rational Transformations Holes Asymptotes Domain Range

What is the point of discontinuity?

• x = -3

• (-3,2)

• x = -5

• (3,8)

What is the VERTICAL asymptote of this function? (click on the graph to enlarge)

Mathematical Equivalence

ON

What is the domain?

• All real numbers except 1/2

• All real numbers

• All real numbers except -4

• All real numbers except 4

Find the vertical asymptotes and holes of the function.

• Holes: None;

  VA: x = 1, -3

• Holes: x = -3;

  VA: x = 1

• Holes: x = -3, 1

  VA: None

• Holes: x = 1

  VA: x = -3

Consider the function: \frac{x^2+x-6}{x^2+6x-16} Determine the excluded values and classify each as a hole or asymptote. There is a hole at ​ (a)   There is an asymptote at ​ (b)  

Consider the function: \frac{x^2+x-6}{x^2+6x-16} Determine the excluded values and classify each as a hole or asymptote. There is a hole at ​ (a)   There is an asymptote at ​ (b)  

Which statements are true for the given rational function. Select all that apply.

• The horizontal asymptote is at y = 0.

• There is a hole at (6, ¾ ).

• The vertical asymptote is at x = -2.

• The x and y intercepts are at the origin.

• The domain is all real numbers except -2.

What is the equation of the asymptote of the graph?

• y=0

• x=0

• x=-11

• y=10

Which statements are true for the given rational function. Select ALL that apply.

• The horizontal asymptote is at y = 0.

• There is a hole at (6, ¾ ).

• The vertical asymptote is at x = -2.

• The x and y intercepts are at the origin.

• The domain is all real numbers except -2.

What is the vertical asymptote?

• x=-4

• x=1

• x=4

• x=3/2