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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
 #1
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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

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