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Question #9c59d

1 Answer

Nov 5, 2017

See explanation

Explanation:

Graph of $l g (x - 3)$ $lg(x-3)$ is the same as that for $log (x)$ $log(x)$ but 'shifted' right by 3

The +2 just 'shifts' the whole thing upwards by 2

Note that $log (x)$ $log(x)$ is undefined for $x \leq 0$ $x<=0$

So $log (x - 3)$ $log(x-3)$ is undefined for $x \leq 3$ $x<=3$ resulting in a vertical asymptote as $x$ $x$ tends to $^{+} 3$ $color(white)()^(+)3$

So the general shape is that of the top $\frac{1}{2}$ $1/2$ of type $\subset$ $sub$

Tony B

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