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Answered

State the open intervals where the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE. )

increasing


decreasing



constant

Answer :

The variation of the value of the function at the different values of x

based on the attached graph are as follows;

Increasing: DNE

Decreasing: -∞ < x ≤ 0

Constant: 0 ≤ x < ∞

How can the variation of a function's graph be described?

The possible graph of the function in the question created with MS Visio

is attached.

From the graph, we have;

The function does not increase with increasing value of x, therefore;

The interval in which the function increases does not exist (DNE)

Which gives;

  • Increasing: DNE

The interval in which the function decreases is from -∞ to 0, which

gives;

  • Decreasing: -∞ < x ≤ 0

The interval in which the function remains the same is from x = 0 to x = ∞, which gives;

  • Constant: 0 ≤ x < ∞

Learn more about graphs of functions here:

https://brainly.com/question/26254100

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