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
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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
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?
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.
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?
This is not completely correct, you need to solve
$\displaystyle 16-x^4\geq 0$
which gives you $\displaystyle -2\leq x \leq 2$ this can be written as $\displaystyle [-2,2]$ as both $\displaystyle -2$ and $\displaystyle 2$ will return a value for $\displaystyle g(x)$