Graphing a logarithm

Practice Questions

GMAT Quantitative Reasoning › Graphing a logarithm

Page 1 of 2

10 of 19

1

Define a function as follows:

$g(x) =2 \ln (x-4)+ 3$

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

2

Define a function as follows:

$g(x) =-2 \log_{8}(x+2)+ 3$

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

3

Define a function as follows:

$g(x) =-3 \log_{8}(x+2)+ 2$

Give the -intercept of the graph of .

4

What is the -intercept of the graph of $y = \log _{3}(x+ 9)$ ?

5

Define functions and as follows:

$f(x) = 2 \log (x-4)$

$g(x) = \log (x+3)+ \log (x-2)$

Give the -coordinate of a point at which the graphs of the functions intersect.

6

The graph of function has vertical asymptote . Which of the following could give a definition of ?

7

The graph of a function has -intercept $\left ( \frac{1}{32}, 0 \right )$ . Which of the following could be the definition of ?

8

What is the vertical asymptote of the graph of $y = \log_{5} (x-7)$ ?

9

What is the -intercept of the graph of $y = \log _{2}(x+ 4)$ ?

10

Define a function as follows:

$g(x) = \log_{9}(x-4)+ 2$

Give the -intercept of the graph of .

Page 1 of 2

Return to subject