DSQ: Graphing a logarithm

Practice Questions

GMAT Quantitative Reasoning › DSQ: Graphing a logarithm

Questions
9
1

Define a function as follows:

for nonzero real numbers .

Where is the vertical asymptote of the graph of in relation to the -axis - is it to the left of it, to the right of it, or on it?

Statement 1: and are both positive.

Statement 2: and are of opposite sign.

2

Define a function as follows:

for nonzero real numbers .

Give the equation of the vertical asymptote of the graph of .

Statement 1:

Statement 2:

3

Define a function as follows:

for nonzero real numbers .

Give the equation of the vertical asymptote of the graph of .

Statement 1:

Statement 2:

4

Define a function as follows:

for nonzero real numbers .

Where is the vertical asymptote of the graph of in relation to the -axis - is it to the left of it, to the right of it, or on it?

Statement 1: and are both positive.

Statement 2: and are of opposite sign.

5

Define a function as follows:

for nonzero real numbers .

Does the graph of have a -intercept?

Statement 1: .

Statement 2: .

6

Define a function as follows:

for nonzero real numbers .

Does the graph of have a -intercept?

Statement 1: .

Statement 2: and have different signs.

7

Define a function as follows:

for nonzero real numbers .

Where is the vertical asymptote of the graph of in relation to the -axis - is it to the left of it, to the right of it, or on it?

Statement 1:

Statement 2:

8

Define a function as follows:

for nonzero real numbers .

Give the equation of the vertical asymptote of the graph of .

Statement 1:

Statement 2:

9

Define a function as follows:

for nonzero real numbers .

What is the equation of the vertical asymptote of the graph of ?

Statement 1: and are of opposite sign.

Statement 2:

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