Guo Ping Z. answered • 05/29/13

Math and Science Tutor and Teacher

First step. you can get the picture of ln(x): http://upload.wikimedia.org/wikipedia/co…

Second step, you just have to edge it to the left by three units.

Patrick L.

asked • 05/01/13and find the domain and range. y=lx+3 graph??

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Guo Ping Z. answered • 05/29/13

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New to Wyzant
Math and Science Tutor and Teacher

First step. you can get the picture of ln(x): http://upload.wikimedia.org/wikipedia/co…

Second step, you just have to edge it to the left by three units.

Anthony P. answered • 05/02/13

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Experienced tutor in earth sciences and basic math to trigonometry

To graph, simply create a table of values for x and y (when x is __, y is __ ). Although if you know the basic parent function of ln(x), then this one is simply shifted to the left by three units.

For the domain, that means all values of x that satisfy the equation. Therefore, we have to know what values of x are invalid.

For logarithms, values of x must be positive and greater than zero. So we find the conditions that would violate it (what values of x would cause this to happen?):

x + 3 > 0

x > -3

So only values of x that are > -3 (but not equal to) would satisfy the equation. So the domain in interval notation is

(-3, +inf)

The range are all the corresponding values of y, which begin at neg inf and go to pos inf (though very slowly, e.g., y = ln(1x10^100) = 230).

So the range is (-inf., +inf)

Use a graphing utility to see for yourself.

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