How to graph a logarithm

Practice Questions

Advanced Geometry › How to graph a logarithm

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1

$\small \small Which\ of\ the\ below\ represents\ the\ asymptote\ for\ y=log(x+4)-2$

2

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

3

Define a function as follows:

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

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

4

Define a function as follows:

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

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

5

Define a function as follows:

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

Give the -intercept of the graph of .

6

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.

7

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

8

Give the equation of the horizontal asymptote of the graph of the equation

$f(x) = -3+ \log \left (x+ 2 \right )$ .

9

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

10

Give the -coordinate of the -intercept of the graph of the equation

$f(x) = -3+ \log \left (x+ 2 \right )$ .

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