Rational Function Review

Assuming the scale is 1, determine where f(x) ≤ 0.

• (-oo, 2) U (2, 4)

• (-oo, 2] U [2, 4]

• (-oo, 4]

• Not given

Assuming the scale is 1, where is f(x) > 0?

• [-4, -1] U [2, +oo)

• (-4, -1) U (2, +oo)

• (-oo, -4] U [-1, 2]

• (-oo, -4) U (-1, 2)

What is the slant (Oblique) asymptote for the equation f(x) = (x² - 4x + 2)/(x + 3)

• y = x -1

• y = x -7

• y = -7x + 23

• y = -2x + 2

A hole occurs when....

• You wear pants that are too tight.

• A factor from the numerator cancels with a factor in the denominator.

• The degree of the numerator is one more than the degree of the denominator.

• The denominator cannot be factored.

Assuming the scale is 1, where is f(x) < 0?

• (-4, 2)

• [-4, 2]

• (-oo, -4) U (2, 4)

• (-oo, -4] U [2, 4]

What is the horizontal asymptote of the function?

• y=0

• y=1/3

• none

Find the vertical asymptote(s).

• x = 3 and x = -7

• x = 3

• x = -7

• x = -4

Find the vertical asymptote(s) (if any) of the graph of the function.
 3x / (x² - 9)

• x=3

• x=0

• None

• X=3, x=-3

What is the horizontal asymptote to this function?

• x=4

• y=0

• none

• y=4

Determine the x-intercept(s) of this graph.

• (-2,0) and (2,0)

• (-2,0)

• (3,0)

• (2,0) and (3,0)