HELP PLEASE. What is true about the domain and range of the function?
O The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 sXs
1.
O The domain is all real numbers such that -3 sxs1,
and the range is all real numbers less than or equal to
4.
O The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
O The domain is all real numbers less than or equal to
4, and the range is all real numbers.

This equation is y=4-(x+1)^2, there is no restriction upon x and y has a max value of four and approaches negative infinity as x moves away from -1 in either direction. So the domain is all real numbers and the range is all real numbers less than or equal to four.

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facundo3141592 facundo3141592 · Answer 2 · 2025-04-12T17:38:48-04:00

The domain and range of the quadratic function are:

Domain: Set of all real numbers.
Range: y ≤ 4.

How to get the domain and range?

For a function y = f(x), we define the domain as the set of the possible inputs x, and the range is the set of the possible values y.

On the graph, we can see a quadratic function.

For the domain, we usually start assuming that the domain is the set of all real numbers, and then we remove problematic points. Where a problematic point can be a zero on a denominator or something like that.

In the case of a quadratic, there are no problematic points, then the domain is the set of all real numbers.

For the range, we can see that the function has a maximum at y = 4, and then it goes down, so the range is just:

R: y ≤ 4.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/1214333