graph each function; identify the domain and range; and compare the graph with the graph of y=1/x.

y=1/x+3 +3
domain:
Range:
Compare:

Question

graph each function; identify the domain and range; and compare the graph with the graph of y=1/x.

y=1/x+3 +3     
domain:     
Range:   
Compare:

anonymous · Answer

i am going to guess that this is $$y=\frac{1}{x+3}+3$$

anonymous · Answer

compared to the graph of $y=\frac{1}{x}$  the graph of $y=\frac{1}{x+3}$ is moved to the LEFT 3 units

anonymous · Answer

then when you add 3 out at the end to get 
$$y=\frac{1}{x+3}+3$$ it is now UP 3 units
net effect is "left 3, up 3"

anonymous · Answer

domain: makes sure the denominator is not zero, i.e. solve $x+3=0$ and get $x=-3$ in one step, so domain is  all numbers except $-
3$

anonymous · Answer

as for the range, a fraction is only zero if the numerator is zero
so $\frac{1}{x+3}$ can never be zero since the numerator is $1$
and therefore $\frac{1}{x+3}+3$ can never be $3$ no matter what $x$ is
range is all numbers except $y=3$

anonymous · Answer

how would i graph this