Question

Hi Can someone help this is hard?

Answer 1

The domain is the set of all real numbers and the range is the set of all real numbers larger than -4, so the correct option is the third one.

How to get the domain and the range?

For a function y = f(x) we define the domain as the set of the x-values (horizontal axis) and the range as the set of the y-values (vertical axis).

Here we have a parabola, in this case the domain is always the set of all real numbers, and the range is all the values above or equal to the vertex (in cases like this, where the parabola opens up).

We can see that the vertex is at y = -4

So the range is.

[-4, ∞]

So the correct option is 3.

Learn more about domain and range:

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