# How do you graph #y=-5sqrtx# and what is the domain and range?

##### 1 Answer

To graph, derive the solution from the parent function,

Domain is all

#### Explanation:

You can plug values in for

Step 1. All graphs of square root functions are related to the **parent** function

graph{sqrt(x)[-1,5, -1, 3]}

Step 2. While keeping all your

graph{-5sqrt(x)[-1, 5, -12, 1]}

Step 3. To find the domain of this function, you have to determine all the "legal" values of

The illegal values occur whenever you plug in negative values beneath the square root and whenever you would divide by zero. You don't have any fractions or denominators so there are no divide-by-zero illegal values. However, all negative numbers are excluded. So your domain can be expressed as:

Domain is all