Suppose that f(x) and g(x) are functions on R such that the range of f is [−5,3], and the range of g is [−2,1]. The range of f(x)⋅g(x) is [a,b]. What is the largest possible value of b?
I think this has been answered before...though I do not kow if I was correct.....this one is hard to read....
I believe the range could go as positive as -5 x -2 = 10
and as negative as -2 x 3 = -6
so [-6,10] Let me know if this is correct...or incorrect (b would be '10' )
Thank you a lot! I solved it actually a little while ago, and that answer is right!