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Find the domain, x -intercept, and vertical asymptote of the logarithmic function and sketch its graph.

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Find the domain, x -intercept, and vertical asymptote of the logarithmic function and sketch its graph.

asked Jan 27, 2015 in TRIGONOMETRY by anonymous

1 Answer

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Step 1:

The function is

Use the natural logarithmic function : .

The function is defined only if , therefore the domain of the function is image.

The domain of the function is image.

Step 2:

To find the -intercept ,

Substitute in function

The -intercept  is at .

Step 3:

The function has vertical asymptote at .

Vertical asymptote is

Graph:

image

Solution :

The domain of the function is image.

The -intercept  is at .

Vertical asymptote is

answered Jan 29, 2015 by james Pupil

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