Graphing Rational Functions with Asymptotes and Transformations

What is the vertical asymptote of the function 1/x?

• x = 1

• y = 1

• x = 0

• y = 0

How does the graph of -1/x differ from 1/x?

• It reflects over the origin

• It stretches vertically

• It shifts to the left

• It shifts to the right

What quadrant does the function 1/x NOT exist in?

• Quadrant II

• Quadrant I

• Quadrant III

• Quadrant IV

What is the domain of the function 1/x?

• All real numbers except 0

• All real numbers

• All negative real numbers

• All positive real numbers

What transformation occurs in the function 1/(x+2)?

• Shift right 2 units

• Shift left 2 units

• Shift up 2 units

• Shift down 2 units

For the function -1/(x-3), what is the vertical asymptote?

• y = 3

• x = -3

• x = 3

• y = -3

What is the new horizontal asymptote of the function 1/x + 2?

• y = 2

• y = 0

• x = 0

• x = 2

For the function 1/(x^2) - 3, what is the horizontal asymptote?

• x = 3

• x = -3

• y = 3

• y = -3

What is the range of the function 3 - 1/(x+2)?

• y > 3

• y < 3

• All real numbers

• y ≠ 3

What is the domain of the function y = 3/(1/(x-2)^2)?

• x > 2

• All real numbers

• All real numbers except -2

• All real numbers except 2