Rational Functions Graphs

Write an equation for a rational function with an x-intercept of (–1, 0), a hole at x = 3, and a VA at   x = 4. 

• y= (x-1)(x+3) / (x+4)(x+3)

• y= (x-4)(x-3) / (x+1)(x-3)

• y= (x+1)(x-3) / (x-4)(x-3)

• y= (x+4)(x+3) / (x+1)(x+3)

Which of the following represent(s) the domain of the function shown?

What are the vertical and horizontal asymptotes of the following function?

• horizontal asymptote is -2 and vertical asymptote is 2

• horizontal asymptote is 2 and vertical asymptote is -2

• horizontal asymptote is -6 and vertical asymptote is 2

• horizontal asymptote is 1/2 and vertical asymptote is -6

• horizontal asymptote is 2 and vertical asymptote is -1/2

The graph of a rational function can best be descirbed as

• A line

• A parabola

• A gradual curve

• A hyperbola

• A circle

The two symmetrical parts that make up a rational function's graph are referred to as

• Roots

• Indexes

• Branches

• Curves

• Axis of symmetry

The asymptote(s) of the parent function of rational functions is/are:

• x=0 

• y=0 

•  x=1

• y=1

• x=0 and y=0

A rational function in the form shown has

• x= h as its horizontal asymptote and y=k as its vertical asymptote

• x=h as its vertical asymptote and y=k as its horizontal asymptote

• x = -h as its horizontal asymptote and y=k as its vertical asymptote

• x = -h as its vertical asymptote and y=k as its horizontal asymptote

• Not sure what an asymptote is but I feel none of the answers listed are correct

• Vertical stretch by factor of 5

• Vertical compress by a factor of 5

• Translation 5 units to the right

• Translation 5 units to the left

• Translation 5 units up

What are the vertical and horizontal asymptotes of the following function?

• vertical asymptote is 3 and horizontal asymptote is 1

• vertical asymptote is 1 and horizontal asymptote is 3

• vertical asymptote is 1 and horizontal asymptote is -3

• vertical asymptote is -1/3 and horizontal asymptote is 1

• vertical asymptote is 3 and horizontal asymptote is -1/3

The domain and range of the parent function of rational functions is:

• x≥ 0 and y≥0

• x≤ 0 and y≤0

• (−∞,∞) and

  (−∞,∞)

• All nonzero real numbers

• All real numbers