Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is true about the domain and range of the function? the domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1. the domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4. the domain is all real numbers, and the range is all real numbers less than or equal to 4. the domain is all real numbers less than or equal to 4, and the range is all real numbers.

Sagot :

MrRoyal

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

How to determine the true statement?

The equation of the function is given as:

f(x) = -(x + 3)(x -1)

The above function is a quadratic function, and the domain of a quadratic function is the set of all real numbers

Expand the function

f(x) = -(x² + 3x - x - 3)

f(x) = -(x² + 2x - 3)

Expand

f(x) = -x² - 2x + 3

Differentiate

f'(x) = -2x - 2

Set to 0

-2x - 2 = 0

Add 2 to both sides

-2x = 2

Divide through by -2

x = -1

Substitute x = -1 in f(x)

f(-1) = -(-1 + 3)(-1 -1)

Evaluate

f(-1) = 4

This means that the maximum value of the function is 4

Hence, the domain is all real numbers, and the range is all real numbers less than or equal to 4.

Read more about domain and range at:

https://brainly.com/question/10197594

#SPJ4

Answer: C: The domain is all real numbers, and the range is all real numbers less than or equal to 4.

Step-by-step explanation: EDGE 2022

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.