Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
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 our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.