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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) times g(x) is [a,b]. What is the largest possible value of b?

Jul 11, 2020

#1
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The largest possibe value of b is 1*3 = 3.

Jul 11, 2020
#2
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That is incorrect

Jul 11, 2020
#3
+27607
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I am not sure of this answer

if range of f is   from   y = -5 to 3

multiplied by the range of g        the largest would be   -5 * -2 = 10

the smallest would be 3 * -2 = -6

so I THINK the new range would be      [-6,10]        b=10

please let me know if I am correct or incorrect....I need to learn too!

Jul 11, 2020
edited by ElectricPavlov  Jul 12, 2020
edited by ElectricPavlov  Jul 12, 2020
#4
+2422
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Wow, I think that's right, EP.... I wanted to answer this too, but had no idea how!

Let's hear what HB says :)

Jul 12, 2020
#5
+392
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Thanks, that is correct!

Jul 12, 2020
#6
+111077
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It is good that you have responded but I have an observation.

When you say "that is correct" it makes me think 2 things.

1. It sounds condescending.

2. It sounds like the only thing you are interested in is the final answer.

Jul 12, 2020
#7
+392
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I'm saying that the answer and the explanation is correct.

Sorry if i wasn't clear

Jul 16, 2020
#8
+111077
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How do you know it is correct?

If you want to state that it is correct you should also state why you believe this to be so.

Do you assume that the answerer does not already know that it is correct.  (or in some cases that it is not correct)

The fact that you are stating it is correct is obvious. You did not need to restate it.

Maybe you should try to understand the context when you read criticisms.

Melody  Jul 16, 2020