No, no bounds were given for the domain of x.
Also, I am not 100% sure why f'(x)= 1- sin(x) is always positive or negative. Perhaps I have not had enough experience with derivatives for this to be evident immediately.
I am not sure what you mean by this. The 1st derivative of my function is (I think) f'(x)=sin x .
I know f(x)= x^2 does not have an inverse. The first derivative here is f'(x)=2x
I know f(x)=e^x does have an inverse. The first derivative here is f'(x)=lnx.
I just don't know how all...
Thanks for the reply. That was really fast.
I think that the slope must be constant (positive or negative) in order for a function to pass the horizontal line test. I mean, it can be positive AND negative. I also believe that there cannot be any maxima or minima.
I don't want to seem...
I need to show that the function {f(x)= x + cos x} has an inverse without the use of a graph. I understand that the simplest way to do this is by the using the horizontal line test, but that is not an option in this case. The professor has asked us to think intuitively about this problem, and I...
I need to show that the function {f(x)= x + cos x} has an inverse without the use of a graph. The professor has asked us to think intuitively about this problem, and I am just at a loss. Any help would be most appreciated, as I am trying not to fail this class. Thanks!