Question

For which interval is the function constant?




(0, 2)

(−∞, −6)

(2, ∞)

(−6, 0)

Answer 1

Answer:

(−6, 0)

Step-by-step explanation:

The section where the function is constant is where it is horizontal.  This is from x = -6 to x = 0; in interval notation, this is (-6, 0).

Answer 2

A function assigns the value of each element of one set to the other specific element of another set. The function is constant in the interval (-6 to 0).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function is known to be constant if the value of one of the variables is not changing the value of the other.

In the function as we can see that the value of y is not changing with the change in the value of x between x=-6 to 0, therefore, the function is constant in the interval (-6 to 0).

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