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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?

 Aug 18, 2020
 #1
avatar+37165 
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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' )

 Aug 18, 2020
 #2
avatar+58 
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Thank you a lot! I solved it actually a little while ago, and that answer is right!

Williamjwu8  Aug 19, 2020
 #3
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You sound surprised.

Melody  Aug 19, 2020

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