What is the domain and range of the function f/x √ 4 − x 2?

Your domain is all the legal (or possible) values of x , while the range is all the legal (or possible) values of y . So your domain is [−2,2] .

What is the range of √ 4 − x 2?

Thus y=√4−x2 is the top half of the circle, which starts at (−2,0) , rises to (0,2) , then descends to (2,0) , showing its range of 0≤y≤2 .

What is the domain of the function f x 4 − x2?

The domain of the expression is all real numbers except where the expression is undefined.

What is the range of f/x 4?

The range is 4 , because y=y can only take on 4 at any point.

What is the range of f/x )? X x 4?

In your case, the function is defined for any value of x∈R , so its domain will be (−∞,+∞) . Furthermore, for any value of x∈R , the function is always equal to 4 . This means that the range of the function will be that one value, {4} .

How do you find the range of a quadratic function?

Now for the range of the function. Since the quadratic we’ve just looked at is equal to zero for x = −1 and x = 1, the range of the function will vary between zero and the point in which the quadratic has a maximum value. More specifically, √1 −x2 = max if x = 0, since you’re subtracting a squared value from 1.

What is the graph of Y = sqrt(4 – x^2)?

Then y = sqrt (4 – 0^2) = 2, so the function is defined on [-2, 2 [. Thus, the graph of y= sqrt (4 – x^2) is a semicircle with radius 2 and domain [-2, 2]. Hopefully this helps! The domain has already been determined to be -2lt=xlt=2. To find the range, we should find any absolute extrema of y on this interval.

How do you find the range of a function with 0lt?

To find the range, we should find any absolute extrema of y on this interval. dy/dx=0 when x=0 and is undefined when x=pm2. y (-2)=0, y (2)=0 and y (0)=2. Thus the range is 0lt=ylt=2. We could also arrive at this conclusion by considering the graph of the function: Which is a circle centered at (0,0) with radius 2.

What is the best way to find the range of parental functions?

The best and fastest way is to learn how do parental functions look like and how does the formula look like and then use it. There are many ways to find the range. I do it like this: parental square root starts in (x0,y0) ⇒ (0,0) and goes up and curving to the positive values, like this: graph {sqrt (x) [-10, 10, -5, 5]}