Suppose that \(f(x)\) and \(g(x)\) are functions on \(\mathbb{R}\) such that the range of \(f\) is \([-5, 3]\), and the range of \(g\) is \([-2, 1]\). The range of \(f(x) \cdot g(x)\) is \([a, b]\). What is the largest possible value of \(b\)?

Williamjwu8 Aug 18, 2020

#1**+2 **

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' )

ElectricPavlov Aug 18, 2020

#2**0 **

Thank you a lot! I solved it actually a little while ago, and that answer is right!

Williamjwu8
Aug 19, 2020