Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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 you found what you were looking for. Feel free to revisit us for more answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.