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Sketch a graph of a function having the following properties. Make sure to label local extremes...

Sketch a graph of a function having the following properties. Make sure to label local extremes and inflection points.

1) f is increasing on (−∞, −2) and (3, 5) and decreasing on (−2, 0),(0, 3) and (5,∞).

2) f has a vertical asymptote at x = 0.

3) f approaches a value of 1 as x → ∞

4) f does not have a limit as x → −∞

5) f is concave up on (0, 4) and (8, ∞) and concave down elsewhere.

Math   Calculus   
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