Calc1_exam1_2005S

# Calc1_exam1_2005S - rate of change of a function f with...

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NAME: Sample Math 180, Calculus I Hour Exam One 9am February 11, 2005 1. What is the slope of the linear function f ( x ) whose graph goes through the points (1 , 2) and (4 , 4)? What is the value of f (7)? 2. A bakery has 250 lbs of ﬂour. If they use 6% of the remaining ﬂour each day, how much do they have after 10 days? Write a formula for the amount of ﬂour they have left after n days. 3. Estimate f 0 (2) using the table which shows values of f ( x ) for x near 2. x 1 . 998 1 . 999 2 . 000 2 . 001 2 . 002 f ( x ) 2 . 8240 2 . 8270 2 . 8302 2 . 8336 2 . 8373 4. The graph of function f ( x ) is below. (a) At what point or points is f ( x ) not continuous? (b) At what point or points is f ( x ) not diﬀerentiable? 0 1 2 3 4 5 6 7 0 1 2 3 ................................... . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . ............................................................. y = f ( x ) 5. The graph below represents the
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Unformatted text preview: rate of change of a function f with respect to x ; that is, it is the graph of f ( x ). (a) On what intervals is f increasing? (b) On what intervals is f concave up? a b c d e ................................................ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ............... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . y = f ( x ) 6. Let T ( x ) be the temperature in degrees Fahrenheit at a distance of x (in feet) from a broken window. What are the units of T ( z ) and what is the meaning of the statement T (6) = 2?...
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## This note was uploaded on 05/04/2008 for the course MATH 180 taught by Professor Tan during the Spring '08 term at Ill. Chicago.

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