Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

If f(x) = x2 - 4x + 3, and the domain is (-2,0, 1}, what is the range?

Sagot :

ThePerfectionOne01

Answer:

{15, 3, 0}

Step-by-step explanation:

  • Domain = the set of all x-coordinates
  • Range = the set of all y-coordinates

Plugin the domain values into the equation then solve:

(fx) = x²- 4x + 3

First value

y = -2²- 4(-2) + 3                      replace f(x) with y

y = 4 - (-8) + 3                         -2² = -2 times -2 = 4 and 4 times -2 = -8

y = 12 + 3                                 add

y = 15                                       final result; first range value

Second value

y = 0²- 4(0) + 3                      replace f(x) with y

y = 0 - 0 + 3                          0² = 0 times 0, which is 0 and 4 times 0 is 0

y = 0 + 3                                add

y =  3                                     final result; second range value

Third value

y = 1²- 4(1) + 3                       replace f(x) with y

y = 1 - 4 + 3                           1 times 1 is 1, 4 times 1 is 4

y = -3 + 3                               add

y = 0                                      final result; third (last) range value

Therefore, Range: {15, 3, 0}

Learn more: https://brainly.com/question/10734654

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.