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  3. 1) the graph of the derivative f ' of a con

1) The graph of the derivative f ' of a continuous function f is shown. (Assume the...

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Basic Math

1) The graph of the derivative f ' of a continuous function f isshown. (Assume the function f is defined only for 0 < x <∞.)

(a) On what interval(s) is f increasing? (2a) On whatinterval(s) is f decreasing?

(b) At what value(s) of x does f have a localmaximum? (2b) At what value(s) of x does f have alocal minimum? x=?

(c) On what interval(s) is f concave upward? (2c) Onwhat interval(s) is f concave downward?

(d) State the x-coordinate(s) of the point(s) ofinflection. x=?

2) Consider the following function.

f(x) = 1 + 5/x - 2/x^2

(a) Find the vertical asymptote(s). X=? (2a) Find the horizontalasymptote(s). Y=?

(b) Find the interval where the function is increasing. (2b)Find the interval where the function is decreasing.

(c) Find the local maximum and minimum values. \"Local max &min\"

(d) Find the interval where the function is concave up. (2d)Find the interval where the function is concave down.

Find the inflection point. (x,y)

3) Find the local maximum and minimum values of f usingboth the First and Second Derivative Tests.

f(x) =( x^2)/(x-2) \"local max & min\"

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