Domains and Functions

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

• set ( 2x + 1 ) = 0

• set ( 2x + 1 ) < 0

• set ( 2x + 1 ) > 0

List the types of intervals that the graph demonstrates in order.

• decreasing, constant, increasing, constant

• increasing, decreasing, constant

• increasing, constant, increasing, constant

• increasing, constant, decreasing, constant

Which statement is true about this function?

• The function is never constant

• The function is always increasing

• The function is never decreasing

• The function increases on the interval 11:00 < x < 15:00

When is the function decreasing?

• (30, 55)

• (40, 60)

• (15, 40)

• (60, -40)

The domain of the function is

• [-2, 2)

The function has point(s) of discontinuity at

• x = -3 only

• y = 2 and y = 4

• x = -3 and x = 1

• x = 1 only

The range of the function is

• ( 0,  4 ]

This function has the following constant interval(s)

• ( - 6, 1 )

• ( - 3, 1 ) only

• ( - 6, - 5 ) only

• ( - 6, -5 ) U ( - 3, 1 )

When finding the domains of even root functions algebraically , we must

• only need to set the radicand equal to zero

• try as many numbers as we can

• set the radicand less than zero

• set the radicand greater than or equal to zero.

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.