Question

Describe the five-step procedure to graphing logarithmic functions in your own words.

Answer 1

A logarithm function is a function that uses the log keyword, and it is the opposite of an exponential function

The procedure to graph a logarithm function

Assume the logarithm function is:

$y = a\log_b(x - h) + k$

Where b represents the base of the function.

• Step 1

The first step is to determine the vertical asymptote of the function

The vertical asymptote of $y = a\log_b(x - h) + k$ is:

$x = h$

• Step 2

The second step is to determine the x-intercepts

To do this, we set the function to 0

i.e. $a\log_b(x - h) + k = 0$

• Step 3

The next step is to determine the y-intercepts

To do this, we set the x to 0

i.e. $y = a\log_b(0- h) + k$

• Step 4

The next step is to plot the vertical asymptote, the intercepts and few points on the graph

• Step 5

Lastly the points that were plotted on the graph must be connected

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