xD_aQt's Methods Thread

[simonhu81292]

so the maximal domain is basically the implied domain, the largest value of x you could in a function
such as
f(x)= root x
the maximal domain is[0, infinity)
since the y values would be un-indentified if x values are lower than 0 ...

for  your question... under roots.. it must be greater than 0
3-x>0
3>x
therefore your domain (-infinity,3]
correct me if i am wrong .....the.watchman 
also sorry... i can't find the infinity symbol

[/0]

That is mostly right, you just made a small typo at the end - it should be

If you haven't already, it's worth checking out the mini-tutorial here.

If you put your cursor over other people's LaTeX, you should see the code that produces it. It wil let you type complicated equations in your posts.
For instance, putting your cursor over will show

Code: [Select]

(-\infty,3)This is a useful way to learn about new latex code

[xD_aQt]

so the maximal domain is basically the implied domain, the largest value of x you could in a function
such as
f(x)= root x
the maximal domain is[0, infinity)
since the y values would be un-indentified if x values are lower than 0 ...

for  your question... under roots.. it must be greater than 0
3-x>0
3>x
therefore your domain (-infinity,3]
correct me if i am wrong .....the.watchman 
also sorry... i can't find the infinity symbol

Would you exclude the 3 then? so (-,3)? or is it meant to be including? (-,3] and how do you know?

[the.watchman]

In normal roots, the endpoint (when the root = 0) is included in the domain/range.
However, when the root is on the denominator of a function, it can't equal 0, so the endpoint is not included.

[brightsky]

You exclude 3 in the domain because is an asymptote. The graph comes really close to but never touches it, as is undefined.

[xD_aQt]

In normal roots, the endpoint (when the root = 0) is included in the domain/range.
However, when the root is on the denominator of a function, it can't equal 0, so the endpoint is not included.

You exclude 3 in the domain because is an asymptote. The graph comes really close to but never touches it, as is undefined.

Thanks Heaps!

[xD_aQt]

Given that f(x) = , its range and domain respectively, are

[simonhu81292]

yepp . thanks /0 for the code ...
 

[the.watchman]

so the domain is and the range is

[brightsky]

so the domain is and the range is

+1

[xD_aQt]

so the domain is and the range is

Your going to ace methods this year

[the.watchman]

I wish

[xD_aQt]

I'm not sure, but would you just swap x and y around then solve for y, or is that wrong?
The range of f(x) = e^sin(x) is

[xD_aQt]

I wish

Have a little bit of confident You've been only to help me out, so I know you can!

[the.watchman]

This is a composite function:



where and

as min/max values for are

when these are subbed into , you get and

so