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ANSWER

The function is decreasing on the interval,

[tex]( - \infty, + \infty)[/tex]

EXPLANATION

To determine whether the function is decreasing or increasing, we trace the graph from left to right.

If the y-values are increasing as we move towards the right, then the function is increasing.

On the other hand, if the y-values are decreasing as we move towards the right, then the function is decreasing.

We can see from the graph that, the y-values decreases as we move from the left to the right.

Therefore, the function is decreasing for all real values of x.

Interval of the graph is the set of the values in which the function is defined.

The function is decreasing on the interval [tex](-\infty,\infty)[/tex]. Thus the option D is the correct option.

What is the interval of graph?

Interval of the graph is the set of the values in which the function is defined.

Given information-

The graph is shown in the given figure.

Let see the graph from the left to the right side. In the left side of the graph the values of y is increasing. This indicates that the function is increasing.

Now in the right side of the graph the values of y is deceasing. This indicates that the function is deceasing.

Thus from going towards right from the left, the value of function is decreasing. Thus the order of the graph is decreasing.

The function is defined for all the real values.

Hence, the function is decreasing on the interval [tex](-\infty,\infty)[/tex]. Thus the option D is the correct option.

Learn more about the interval of graph here;

https://brainly.com/question/8614675

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