I can't figure this one out.
For each of the following determine whether the function is increasing, decreasing, even, odd, and/or invertible.
(a) \(f(x) = x^2 - 2x + 3\)
(b) \(f(x) = \sqrt{x-5}\)
(c) \(f(x) = \frac{x}{x^2+1}\)
(d) \(f(x) = x + 1 + \frac{1}{x}\)
(e) \(f(x) = |x| \cdot \sqrt{x}\)
Thank you very much for your help!
