determine whether the function is odd, even or neither?
k(x)=3-7(sqrt1+x^2)
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (lukecrayonz):
\[3-\sqrt{1+x^2}\]
OpenStudy (anonymous):
\[3-7\sqrt{1+x^2?}\]
OpenStudy (anonymous):
????????
@lukecrayonz
OpenStudy (lukecrayonz):
Oh right sorry 1 sec
OpenStudy (lukecrayonz):
Ok so input -x for everytime you see x, and tell me what you get.
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (lukecrayonz):
If f(–x) = f(x), all of the signs are the same, then the function is even. If you end up with the exact opposite of what you started with (that is, if f(–x) = –f(x), so all of the "plus" signs become "minus" signs, and vice versa), then the function is odd
OpenStudy (lukecrayonz):
And if you get neither answer, then it's neither! :P
OpenStudy (anonymous):
Ok h(x)=\[3-7\sqrt{1+(-x)^2}\]
OpenStudy (lukecrayonz):
So it's even.
OpenStudy (anonymous):
ok thanks
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
there is another one
please
OpenStudy (lukecrayonz):
Sure :-)
OpenStudy (anonymous):
h(x)=x(4-x^2)
OpenStudy (lukecrayonz):
Odd :-)
OpenStudy (anonymous):
h(-x)=-x[4-(-x)^2]
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
so....
OpenStudy (anonymous):
what next ??
OpenStudy (anonymous):
??????????????????
OpenStudy (anonymous):
@lukecrayonz
OpenStudy (lukecrayonz):
if f(–x) = –f(x), so all of the "plus" signs become "minus" signs, and vice versa), then the function is odd