Finding the Domain Algebraically

What is the domain?

State the domain for the following function:

Algebraically, we can find the vertical asymptotes of rational functions by...

• finding what makes the denominator equal to zero.

• finding what makes the common factors cancelled out equal to zero.

The domain of the function is

• [-2, 2)

When finding the domains of rational functions algebraically, we must

• set the denominator greater than zero first and solve for x.

• set the denominator equal to zero first and solve for x

• set the denominator not equal to zero and solve for x.

• set the numerator equal to zero and solve for x.

When finding the domain of f(x) = log ( 2x + 1), we must

• set ( 2x + 1 ) = 0

• set ( 2x + 1 ) < 0

• set ( 2x + 1 ) > 0

• [ -12, 12 ]

• ( -12, 12 )

• ( -12, 12 ]

Which statement is true about the graph.

• It is a function and its domain is (-4 , 5]

• It is a function and its domain is [-4 , 5)

• It is not a function and its domain is (-4 , 5]

• It is not a function and its domain is [-4 , 5)

• (-∞, 5]

• [5, ∞)