The domain of the function is all real numbers, the range of a function is y ≤ 4
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = –(x + 6)(x + 2)
If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.
Here the no other details are given.
But we can say:
Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4
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Answer:
Hyperbola.
Step-by-step explanation:
We start from the function:
We may get the traces if we cut the surface in planes x=k. This is equivalent to replace x for k:
The last equation is the equation of an hyperbola, which varies its characteristics depending on K (the plane cut).