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2. The function f(x) = 1 1 + 1.25x 2 has one inflection point on the...

2. The function f(x) = 1 1 + 1.25x 2 has one inflection point on the interval 0 ≤ x ≤ 2.

(a) Find the inflection point of the function f(x). Write the answer with ALL the decimal places the calculator gives. Do not round the calculator answer. calculator answer:

(b)Sketch the graph of f(x) over the interval 0 ≤ x ≤ 2. Label the inflection point of f(x) in your sketch. Give the window you use.

(c)(2 points) Use the graph to decide what kind of inflection point g(x) has. Circle one of the following.

(A) Point of fastest decrease (B) Point of slowest decrease (C) Point of fastest increase (D) Point of slowest increase

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