1.
Which of the following choices describes the end behavior of the function shown below?

Choose:

2.
The statement y = log5 x is equivalent to ...

Choose:
 x = 5y y = 5x x = 5 log y y = log x5

3.
The graph of y = log7 x ...

Choose:
 intersects the x-axis. intersects the y-axis. intersects both axes. intersects neither axis.

4.
Find the range of y = log(x) + 3.
Choose:
 [1,∞) [3,∞) (3,∞) All Reals

5.
The domain of f (x) = log x is ...

Choose:
 all positive real numbers all reals less than zero all reals greater than one all real numbers

6.
Consider the graph of y = ln(x) with the limited domain (0, 10]. What is the maximum value of the function on this interval?

Choose:
 1 ln 2 ln 10 10

7.
The statement f (x) = log3 x is equivalent to ...

Choose:

8.
Find the domain of f (x) = ln(x + 3).

Choose:
 [3,∞) (3,∞) (-3,∞) [-3,∞)

9.
Given f (x) = e3ln(x).
Find the value of f (2).

Choose:
 -8 -2 8 does not exist

10.
The graph of    f (x) = logb x
is shown at the right. Which statement must be true about b?

Choose:
 b > 1 0 < b < 1 b < 0 b < -1

11.
Which statement about the graph of f (x) = log9 x is false ?

Choose:
 The domain is the set of positive reals. The equation of the asymptote is y = 0. The range is all real numbers. The graph has no y-intercept.

12.
Which of the following is true regarding the
x
-intercepts of the functions f (x) and g(x) ?

f (x) = log(x - 2)

 x g(x) -2 12 -1 9 0 6 1 3 2 0
Choose:
 x-intercept of f (x) has larger x-value. x-intercept of g(x) has larger x-value. x-intercepts of the two functions have the same x-values.

13.
The graph of  the inverse of y = 3x is shown at the right. Which of the choices represents this graph?

Choose:
 y = (-3)x y = log3 x y = 3-x y = logx3