Math194 Spring 2007 Practice Exam 1

Math194 Spring 2007 Practice Exam 1 - 8 Evaluate and...

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Math 194 Practice for Exam I 1.) Define “function.” 2.) (a) You are going to graph p = f(w). Which variable goes on the vertical axis? (b) If 10 = f(-3) give the coordinates of a point on the graph of f. (c) If 5 is a solution to the equation f(w) = 1, give a point on the graph of f. 3.) If g(x) = 3 – x 2 find the average rate of change of f between x = 0 and x = 1. 4.) Do any of the following tables represent a linear function? Why or why not? (a) ___x 1 3 7 9 h(x) 10 20 40 50 (b) ___x 2 4 6 8 h(x) 10 12 14 18 5.) What is the slope of each equation below? (a) y = 3x + 10 (b) 2y = 9x – 11 6.) Are the following lines parallel, perpendicular, or neither? (a) y = 3x + 10 3y = -x -20 (b) 2y = 4x – 10 3y = 4x + 3
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7.) Find a formula for the line that is perpendicular to the line y = 3 – (2/3)x and which contains the point (6 , 5).
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Unformatted text preview: 8.) Evaluate and simplify completely. If q(x) = x 2 – 3, find (a) q(5) (b) q(a) (c) q(a) – q(5) (d) q(a - 5) 9.) Find the domain and range of the following functions. (a) f(x) = √5 - x (b) g(x) = __1__ 3 + 2x 10.) Graph the following piecewise defined function: x + 1 for x ≤ 2 f(x) = x for x > 2 11.) If the rate of change of a function are increasing as we move from left to right on the x-axis, is the function concave up or concave down? If the rate of change of a function are decreasing as we move from left to right on the x-axis, is the function concave up or concave down? 12.) Are the following functions concave up or concave down? WHY? x 1 2 3__ f(x) 3.5 7 11.5 17 t 0.5 1.0 1.5 2.0_ d(t) 3 6 5 13.)...
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This note was uploaded on 12/21/2011 for the course MAT 194 taught by Professor Staff during the Fall '08 term at Syracuse.

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Math194 Spring 2007 Practice Exam 1 - 8 Evaluate and...

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