What are the domain and range of the function? f(x)=−4x√x

Domain x ≥ 0 Range y ≤ 0

Step-by-step explanation:

Step-by-step explanation:

Notice that the Range of the function (x-values for which the function exists) is limited by the possible values of x inside the square root. For to exist, x must be larger than or equal to zero ()

So this gives us the description for building the Domain (what is called "set builder notation":

Now for the Range, let's look into all the possible values that these   values of x can render:

but now, if we multiply both sides of the inequality by "-4", the direction of the inequality changes rendering;

Since these are the possible values of the "y-coordinate", then we right the Range in set builder notation as:

answer is  

minor arc – sw

major arc – stu

semicircle – wst

i got it down chief.