Answered

Explore a world of knowledge and get your questions answered on IDNLearn.com. Our platform provides trustworthy answers to help you make informed decisions quickly and easily.

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

Sagot :

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

View image Oeerivona
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.