Consider the logarithmic equation .

(a) The domain of this function is help (inequalities)

(b) Determine whether its graph has a horizontal asymptote or a vertical asymptote. In each answer blank enter an equation or for some number , or, enter NONE if its graph does not have that type of asymptote.
The graph has a vertical asymptote with equation help (equations)
The graph has a horizontal asymptote with equation help (equations)

(c) Determine whether its graph has an -intercept or a -intercept. In each answer blank enter a point including parentheses, or, enter NONE if its graph does not have that type of intercept. Enter exact answers, not decimal approximations.
The graph has an -intercept at the point help (points)
The graph has a -intercept at the point help (points)

(d) Without using a calculator, sketch the graph of this equation on paper, labeling the features above.

Which graph A-D below most closely matches the graph you drew?

 
A   B
 
C   D

(Click on a graph to enlarge it.)

You can earn partial credit on this problem.