Help!!!! For each of the following, identify the domain and range.

Question

anonymous · Answer

$$g(x)=8\left| x \right|-4$$

anonymous · Answer

there will be no restrictions on the domain, so the domain is all set of real numbers.
the graph of this function is shifted down by 4 units, (remember the parent function has a range of 0=<y) so the range will be -4=<y (-4 is equal or less than y)...

anonymous · Answer

so basically
Domain: $$(-\infty,\infty)$$
Range: $$(-\infty,-4]$$
How do you know when there's no restrictions?

anonymous · Answer

range will be:
$$[-4,+ \infty)$$

there will be restrictions for rational function, if the denominator is equal to zero, the function will be undefined.

anonymous · Answer

ohhh 
so like for this equation:
$$\frac{ (x-2)(x+3) }{ (x-2)(x+2) }$$
there would be a restriction on 2 and -2?

anonymous · Answer

yeah!!, sorry late respond,

anonymous · Answer

okie dokie :)
so that would mean that the domain is?
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