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

1).  \((x) = \sqrt{x-5}\)

2). \(f(x) = \frac{x}{x^2+1}\)

3). \(f(x) = x + 1 + \frac{1}{x}\)

4). \(f(x) = |x| \cdot \sqrt{x}\)

 Feb 9, 2023
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1) Decreasing, odd, invertible

 

2) Increasing, even

 

3) Even, Invertible

 

4) Increasing, Even, Invertible

 Feb 9, 2023

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