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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!

Oct 4, 2020

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(a) decreasing, odd, invertible

(b) increasing, invertible

(c) even, invertible, increasing

(d) even, decreasing

(e) invertible, even, decreasing

Oct 5, 2020