Mathematics
jurnee
2016-04-11 05:03:51
Evaluate the function rule to find the range of each function for the domain {-3, 0, 5}. f(x) = x² − 6x + 4 A. {-5, -4, -1} B. {-5, -1, 4} C. {-1, 4, 31} D. {4, 31, 59} Please I beg of you!
ANSWERS
katherinef02
2016-04-11 09:26:18

The range is the set of images; so, as you have the domain set and the function rule, you just have to calculate the value of the function for each value of the domain: Domain        image, f(x) =x^2 - 6x + 4 -3                (-3)^2 - 6(-3) + 4 = 9 + 18 + 4 = 31 0                 (0)^2 - 6(0) + 4 = 0 - 0 + 4 = 4 5                  (5)^2 - 6(5) + 4 = 25 - 30 + 4 = - 1 So, we got the images -1, 4, and 31 and that is that is the range {-1, 4, 31} Answer: option C. {-1, 4 , 31}

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