Increasing, Decreasing, Even, Odd, and/or Invertible? Please help me, thank you!

For each of the following, determine if the function is increasing, decreasing, even, odd, and/or invertible on its natural domain.

For each property, write inCreasing, Decreasing, Even, Odd, inVertible in that order (alphabetical). For example, if the function is increasing, odd, and invertible, submit "COV". If the function is none of the above, submit "NONE".
 

(a) \( x^2 - 2x + 3\)

(b) \(\sqrt{x-5}\)

(c) \(\frac{x}{x^2+1}\)

(d) \(x + 1 + \frac{1}{x}\)

(e) \(|x| \cdot \sqrt{x}\)