Question

How do you graph `f(x)=sqrt(x-3)+4`?

Answer 1

First of all I have to be careful with the square root. I do not want a negative argument, so I set:
`(x-3)>=0` and so:
`x>=3`
This means that I can only give values of `x` starting from `3` and going up (I cannot give `2`, `1`, `0` etc..)

Then I'll choose "friendly" values of `x` in the sense that using them I can easily evaluate the square root:

For example:
`x=3` `->` `y=0+4=4`
`x=4` `->` `y=1+4=5`
`x=7` `->` `y=2+4=6`
`x=12` `->` `y=3+4=7`
...etc

I can now plot my graph: