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

 Jun 25, 2021
 #1
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The smallest f(x) * g(x) can be is -15. (-5*3 or 5*-3)

The largest f(x) * g(x) can be is 15. (5*3 or -5*-3)

 

=^._.^=

 Jun 26, 2021

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