If A={-3,-1,2}, f:A→R, and f(x)=x^2-1, what is the range?

Correct answer: {0,3,8}

For a function with a finite domain, the range is found by evaluating the rule at every element of the domain and collecting the distinct outputs. At x=−3, f(−3)=9−1=8. At x=−1, f(−1)=1−1=0. At x=2, f(2)=4−1=3. Thus the range is {8,0,3}, conventionally written in increasing order as {0,3,8}; option A is correct. Option B is the domain itself, not the range. Option C includes 4, which forgets to subtract 1 at x=2, and option D contains incorrect evaluations. Since all three outputs are different, no repeated value needs to be removed from the set.