Rational Functions

Find the x-intercept (zero) of the function f(x) = (x - 7) / x

• (0, 0)
• (0, -7)
• (7, 0)
• there is no x- intercept

• None
• x = -4
• x = 3
• x = 4

What are the asymptotes of the following function:
y = x / (2x - 6)

• y = 1/2, x = 3
• y = 2, x = 6
• y = 1/2, x = 6
• y = 2, x = 3

The y-intercepts of a rational function are:

• the value of f(0)
• the real zeros of the numerator
• always zero
• the real zeros of the denominatior

The x-intercepts of a rational function are :

• the real zeros of the denominator
• always zero
• the value of f(0)
• the real zeros of the numerator

• A
• B
• C
• D

What are the asymptotes?

• x=-1 y = -3
• x=1 y = -3
• x=-1 y =3
• x=1, y=3

Find the horizontal asymptote.

• None
• y=3
• y=0
• y=2 and y=-2

Tags

CCSS.HSF-IF.C.7D

State the domain.

• All real numbers
• (-∞, -2) U (2, ∞)
• (-∞, -2) U (-2, 2) U (2, ∞)
• (-∞, 0) U (0, ∞)

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.

Tags

CCSS.HSF-IF.C.7D