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Math 194 Fall 2007 Exam 1

Math 194 Fall 2007 Exam 1 - Name Math 194 Fall 2007 Exam I...

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Name: ______________________________ Exam I Math 194, Fall 2007 September 2007 DO NOT WRITE IN THIS AREA 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 Total Points /60 1) (a) (3 points) Could the values in the following table indicate a function of x to f(x) ? WHY or WHY NOT? __________________________________ __x 2 3 4 5 2__ __ f (x) 4 5 6 7 8__ (b) (3 points) Give the definition of a function. 2) (3 points) Find the average rate change of the function f (x) = 3x 2 + 10 between x = 2 and x = 3.
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3) Tuition cost T (in dollars) for part-time students at Stonewall College is given by T = 300 + 200C, where C represents the number of credits taken. (a) (2 points) Find the tuition cost for 8 credits. (b) (2 points) How many credits were taken if the tuition was $1700? (c) (2 points) Explain in real life terms what the 300 represents in the formula for T. (d) (2 points) Explain in real life terms what the 200 represents in the formula for T.
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4) (a) (4 points) Rewrite the following equation in slope-intercept form: 3x + 2y + 9 = y – x. (b) (4 points) Find the formula for the linear function g (x) if you know that g (10) = -19 and g (-1) = 25.
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5) (a) (2 points) What is the slope of any line that is perpendicular to the line y = -3x + 10 ?
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