UFCalcSet3

# UFCalcSet3 - Exercises UF Calculus Set 3 1 Given the graph...

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Exercises UF Calculus Set 3 1. Given the graph of f ( x ) shown: (a) What is f (2) ? (b) Solve the equation f ( x ) = 0 . (c) What are the domain, range of f ? (d) True/False: The pair ( 1 , 2 ) is on the graph of the relation x 2 + y 2 = f ( x ) . 2. Determine whether the following represent functions: (a) a graph that intersects the y -axis in two places (two y -intercepts) (b) a rule that associates a student with his/her current most favorite song (c) a rule that associates, to a given time, the distance from a swinging pendulum to its lowest point (d) a rule that associates, to a given distance, the time at which a swinging pendulum is that distance from its lowest point 3. Roughly sketch what you believe to be a typical graph of the functions below: (a) the temperature outside today as a function of the number of hours after midnight (b) the percent a student scores on an exam as a function of the number of study hours (c) the vertical distance D from your hand to the nearest object as you move it horizontally across your desk and over a textbook (picture provided)

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4. The volume (in gallons) of water in a tank is recorded over
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