Consider the function given by the function f. (a) Between which pairs of points is the av...

Consider the function given by the function f.

(a) Between which pairs of points is the average rate of change of f positive?

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(b) Between which pairs of points is the average rate of change of f negative?

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(c) Between which pairs of points is the average rate of change of f zero?

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(d) At which points of f is the tangent line slope positive?

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(e) At which points of f is the tangent line slope negative?

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(f) At which points of f is the tangent line slope zero?