handout_10_02

# handout_10_02 - f of a function f Sketch a possible graph...

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Math 1a: What does f 0 say about f ? October 02, 2009 1. The following is the graph of the velocity s ( t ) (in m/s) of a particle as a function of time t (in s). 2 4 6 t 2 4 s L t R a. Sketch a graph of the acceleration a ( t ). b. Sketch the graph of the position p ( t ). 2. Let f be a function such that f 0 ( x ) = x 2 - x . a. On which intervals is f increasing/ decreasing? b. On what intervals is f concave up/ concave down? c. What are the inﬂection points of f ? 1

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3. Each graph below represents the derivative
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Unformatted text preview: f of a function f . Sketch a possible graph of f . Pay close attention to where f is increasing or decreasing, the maxima and minima of f , where f is concave up or concave down and the points of inﬂection of f .-1 1 2 3 x-1.5-1-0.5 0.5 1 1.5 y-2-1.5-1-0.5 0.5 1 1.5 2 x-2-1.5-1-0.5 0.5 1 1.5 2 y-2-1 1 2 3 x-1-0.5 0.5 1 y-6-4-2 2 4 6 x-1-0.5 0.5 1 y 2...
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## This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.

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handout_10_02 - f of a function f Sketch a possible graph...

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