# Sketching a graph under certain condtions

I got a question like this,

sketch the graph of a function that satisfies the following conditions,

1. the domain is [0,oo];
2. the range is [4,oo];
3. the curve passes through [0,5];

but I don't get it, I know how to pass the curve through [0,5] but what about domain and range?

I totally missed this lesson. Any examples please?

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Usually we write infinite intervals as open at $\infty$, so the domain should be $[0,\infty)$ and the range $[4,\infty)$
The domain is the set of values you can take the function of. In this case it is the positive $x$ axis. So your function needs to have some value for all of that.
The range is the set of values your function can take. So there has to be at least one $x$ that results in $f(x)=y$ if I pick any $y \ge 4$
So I would start at $(0,5)$, drop down to $y=4$ then head off to the upper right corner of the paper.

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