Question

Idenify the range for the function, f(x). (negative infinity, infinity) (negative 2, infinity) left-bracket negative 2, infinity) (negative infinity, negative 2) union (negative 2, 0), union (0, infinity)

Answer 1

The range for the function f(x) is (negative infinity, infinity).

Step-by-step explanation:

To identify the range for the function, f(x), we need to analyze the given options. The range is the set of all possible output values of the function. Looking at the options (negative infinity, infinity), (negative 2, infinity), (-2, infinity), (negative infinity, negative 2) union (-2, 0) union (0, infinity), we can see that the function has no restrictions on its output values. Therefore, the range of f(x) is (negative infinity, infinity).

Answer 2

The range is 0 ≤ y, all the real values equal or larger than zero.

How to find the range?

The range is the set of the possible outputs of a function, so to identify it in a graph, we need to look at the vertical axis in the graph.

Here we can see that we have a parabola that opens upwards, and has a vertex at the origin, so the minimum value of the parabola is y =0.

And then it can take any value larger than that, so the range of the function is:

0 ≤ y

So the correct option is the last one.