Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.