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How does varying a affect the shape of the graph

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Reference no: EM131605039

Question: Consider the family of functions

f(x) = (√(a + x)/(√a + √x)), x ≥0, for positive a.

(a) Using a computer algebra system, find the local maxima and minima of f.

(b) On one set of axes, graph this function for several values of a. How does varying a affect the shape of the graph? Explain your answer in terms of the answer to part (a).

(c) Use your computer algebra system to find the inflection points of f when a = 2.

Reference no: EM131605039

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