Interval and Range

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February 1st 2010, 02:54 PM
l flipboi l

Interval and Range

Hello,

I was wondering,

1.how do we find the range of a function w/o a calculator?
2. how do we know if its this bracket () or this bracket []? what will determine it.

Thanks
February 1st 2010, 02:57 PM
pickslides

Quote:

Originally Posted by l flipboi l

1.how do we find the range of a function w/o a calculator?

Thanks

This is done by knowing the shape and nature of the function in question. Also knowing the domain will be helpful. Do you have an example of a function you require the range for?

Quote:

Originally Posted by l flipboi l

2. how do we know if its this bracket () or this bracket []? what will determine it.

Thanks

example

(0,5) means all numbers between 0 and 5 but not including 0 and 5.

[0,5] means all numbers between 0 and 5 including 0 and 5.
February 1st 2010, 03:07 PM
l flipboi l

Yeah, I was trying to work out this problem g(x) = sqrt(16-x^4)...i found the domain to be x=+-2

but I could not figure out the range...

also, how would I know which bracket to use? in this case, since x cannot be -2 or +2 should I use () meaning not to include -2 or +2?
February 1st 2010, 03:24 PM
pickslides

Quote:

Originally Posted by l flipboi l

Yeah, I was trying to work out this problem g(x) = sqrt(16-x^4)...i found the domain to be x=+-2

This is not completely correct, you need to solve

$16-x^4\geq 0$

which gives you $-2\leq x \leq 2$ this can be written as $[-2,2]$ as both $-2$ and $2$ will return a value for $g(x)$