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Suppose that f(x) and g(x) are functions on real numbers 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?

 Dec 10, 2019
 #1
avatar+107089 
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Well if f(x)=-5 and g(x)=-2   then f(x)*g(x) = 10

 

It cant be any higher than that.     b=10   (at most)

 Dec 10, 2019
 #2
avatar+180 
+1

Thanks a lot!!!

 Dec 10, 2019

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