What is the range of the relation? x-values= -4, -2, 0,2,4 y-values= 5,2,-1,-4,-7 Answers: A. (-4,4) B. (-4,-2,0,2,4) C. (-7, -4, -1, 2,5 D. (-7, -4, -2, -1, 0,2,4,5

Question

I need help on this question, i dont understand it.

Answer 1

Assume x is the independent variable and x has a domain. So y as the dependent variable has a range determined by the domain of x. So the answer has to be values of y, not x. Answer C contains the 5 values of y in order least to greatest. We don't know whether the relationship is continuous, so for the 5 values of x we need 5 values for y. We can't say that the range is [-7,5] because we don't know what happens to y for other values of x. Answer C seems to be the only valid solution.