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 believe the highest range would be -5 * -2 = 10
the lowest would be 3 * -2 = -6
[-6,10]
Let me know if this incorrect .... I am always learning too !