Question: (a) Graph the function f(x) = 1/(1 + e 1/x ). (b) Explain the shape of the graph by computing the limits of f(x) as

(a) Graph the function f(x) = 1/(1 + e1/x).

(b) Explain the shape of the graph by computing the limits of f(x) as x approaches ∞, –∞, 0+, and 0–.

(c) Use the graph of f to estimate the coordinates of the inflection points.

(d) Use a computer algebra system to compute and graph f".

(e) Use the graph in part (d) to estimate the inflection points more accurately.

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