Question

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!

Answer 1

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}