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March 15, 2026, 03:35:48 pm
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Author Topic: How to find the range of this without using a calculator.  (Read 631 times)  Share 

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vea

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How to find the range of this without using a calculator.
« on: October 28, 2010, 06:32:11 pm »
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Hi guys

Was doing a practice exam and came across this question in Neap 2006 Exam 1.

What is the range of ?

I tried to guess and said [-8,10] but the answer is actually [-8,1]. Can someone please explain this?

Thanks in advanced.
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jasoN-

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Re: How to find the range of this without using a calculator.
« Reply #1 on: October 28, 2010, 06:36:16 pm »
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need to realise that has values from , as squaring all negative values gives positive
hence has values from
+1 to everything ->
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vea

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Re: How to find the range of this without using a calculator.
« Reply #2 on: October 28, 2010, 06:39:28 pm »
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Thanks! That makes sense.

Seems like we're going for the same uni course hehe
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LachyMc

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Re: How to find the range of this without using a calculator.
« Reply #3 on: October 28, 2010, 06:40:17 pm »
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Wow that is tricky..
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jasoN-

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Re: How to find the range of this without using a calculator.
« Reply #4 on: October 28, 2010, 06:40:23 pm »
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awesome, but my chances are slim due to fail UMAT, but let's not worry about that :)
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Re: How to find the range of this without using a calculator.
« Reply #5 on: October 28, 2010, 06:42:23 pm »
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I just remember DR. T
Dilation -> reflection -> translation in that order
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