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Identify the range of the function y=-3x+6 when the domain is {-1,2,4}
A. {-6,0,9}
B. {-9}
C. {3,-12,-18}
D. {-3,12}
E. {-6,9}



Answer :

guerlapierre10

Answer:

A. {-6,0,9} but in order of domain it's {9,0,-6}

Step-by-step explanation:

There's two ways of finding the range;

Way #1: The traditional method

  • In the traditional method you substitute x for all the numbers in the domain
  • When substituting you replace x and solve it like a regular equation (so for example for -3(-1) + 6 = 9 so y=9 when x equals to 2 or f(-1)= 9) to find y
  • After substituting your y-values or the range (in order from least to greatest in domain or x-values) is {9,0,-6}

Way #2: The graphing calculator method

  • Using a graphing calculator you use the table function
  • Turn on the calculator press the button "Y=" place the function -3x+6
  • Hit "2nd" then "Graph" to get the table
  • Look at your x-functions to find your domain and next to these domains are your y-values those y-values that correlate to your domain are the ranges which are {9,0,-6}
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