Question

given the domain [-3, -2, -1, 0, 1], determine the range of the given relation. y=x^2-4

Answer 1

your domain is [-3,1]
so , \[-3\le x \le 1 \] you have to give the form of y ( range )
elevating to square
\[0 \le x ^{2} \le ( the highest of the exponents) = 9\]
\[-4 \le x ^{2} - 4 \le 5\]
so you range is [-4,5]