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11-77.

Graph the function $h(x)=−\sqrt{3-x}$. Use inequalities to describe its domain and range. 11-77 HW eTool (Desmos). Homework Help ✎

Domain is all of the values of $x$ that give a real answer.
Range is all real values that are possible answers.

You cannot take the square root of a negative number and get a real answer.
What numbers could $x$ be that would make the number under the square root sign negative?
How can you describe what numbers $x$ has to be to get a real answer?

Taking a square root gives a positive number.

Domain: $x\le3$
Range: $h(x)\le0$

Use the eTool below to graph the function and describe the domain and range.
Click on the link at right for the full eTool version: CCA 11-77 HW eTool