Ok so I know the idea why this is true but how would I prove it.
If show that therre is a number c such that
I know the function is continous and that its range is to to infinity so it has to equal 1000 at some point but how do I prove it? Thanks
If you can prove the statements you said - i.e. that the function is continuous and has an infinite range, then you will have proven your if statement.