Classify the following functions f(x) as odd, even or neither.
What do I do?
what? where?2 things u need to rmbr
Even functions:
f(-x)=f(x) (when subbed in a negative pronumeral, the equation still stays the same)
Odd functions:
f(-x)=-f(x) (when subbed in a negative pronumeral, the equation becomes negative)
Wow ur going fast, last time i saw u, u were doing quadratics
Why did you put the minus sign in front of the x but not for the x squared part of the denominator?
Therefore odd.
Just make f(x) become f(-x) and look at what happens to the function.
It it's the exact same thing, then even.
If the same thing, but with a minus in front (like here), then odd.
If neither, then neither.
Because if I replace the x with -x, then I get (-x)^2, which is still x^2.what? where?
Why did you put the minus sign in front of the x but not for the x squared part of the denominator?
HSN threadwhat? where?
Why did you put the minus sign in front of the x but not for the x squared part of the denominator?
Okay so let me get this straight.Because if I replace the x with -x, then I get (-x)^2, which is still x^2.
Not really.Okay so let me get this straight.
If the function is the same as the question, then it's even
If it's different from the question, then it's odd
Am I right?
When subbed in a negative pronumeral, and the equations stays the same, it is an evenOkay so let me get this straight.
If the function is the same as the question, then it's even
If it's different from the question, then it's odd
Am I right?
In front of where? the x? or any number with a minus in front?Not really.
If I replace X with (-X) and I get the exact same thing, then it's even.
If I replace X with (-X) and I get the same thing EXCEPT it has minus in front, then it's odd.
If I replace X with (-X) and I get neither of the above cases, then it is neither.
Okay I understood those parts thanks. She explains things too quickly and i'm too embarrassed to ask a question since everyone else is smarter than me and will think i'm dumb lol.When subbed in a negative pronumeral, and the equations stays the same, it is an even
When subbed in a negative pronumeral, and the equation stays the same and becomes negative, it is an odd
When subbed in a negative pronumeral, and the equation becomes something different, it is neither
fawun bro why dont u listen to ur teacher during class time
When I say it has a minus in front, I mean that it's the EXACT same function, but multiplied by -1.In front of where? the x? or any number with a minus in front?
When will there be a case where it will be a neither? doesn't a question have to have a plus or a minus? idgi.
So let's say for this question:
I got:
Is this right so far? What do I do next? Do I like expand it or something?
You can do two things, expand:In front of where? the x? or any number with a minus in front?
When will there be a case where it will be a neither? doesn't a question have to have a plus or a minus? idgi.
So let's say for this question:
I got:
Is this right so far? What do I do next? Do I like expand it or something?
Why is it -f(x)? isn't it f(-x)?When I say it has a minus in front, I mean that it's the EXACT same function, but multiplied by -1.
So for example if:
Then -f(x) is:
How did you get ? Did you just cancel out the negatives? or did you expand it?In your case, you have
Wait what? why did you chuck a -1 in front of it?But notice, that's NOT the original function. On top of that it's NOT the same thing as the original function, but with a -1 chucked in front of it:
So therefore, not odd and not even, and thus neither.
That's the idea. Since -f(x) IS equal to f(-x), then it is an odd function.Why is it -f(x)? isn't it f(-x)?
How did you get ? Did you just cancel out the negatives? or did you expand it?
Wait what? why did you chuck a -1 in front of it?
Why didn't you put a minus in front of the second function? I know that (-x)^2 is the same as x^2 but why didn't you put -x? so then it becomes x^2-x?You can do two things, expand:
So basically f(-x) is the same as -f(x)?When carrot means it has a minus in front, he means:
I just expanded what you gave me as f(-x)Why didn't you put a minus in front of the second function? I know that (-x)^2 is the same as x^2 but why didn't you put -x? so then it becomes x^2-x?
So basically f(-x) is the same as -f(x)?