MATH 190 Midterm: MATH 190 Louisville Practice Exam 1 160128 Solution
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Practice exam #1 solutions: (10 points) answer the following questions about graphs. (a) (3 points) given the piecewise function g(x) ={ x2 2 if. 2x 5 if x > 1 x 1. , calculate the follow- ing values: g(3), g(2). Since 3 > 1, g(3) = 32 2 = 7. Since 2 > 1, g(2) = 22 2 = 2: g(1). Since 1 1, g(1) = 2 1 5 = 3. (b) (4 points) for f (x) as shown on the graph, sketch the graph of its transformation g(x) = We see what this looks like above. (c) (3 points) determine the equation of the line through the points (1, 4) and (4, 5). We start by calculating the slope of the line: m = y2 y1 x2 x1. Polling of the fanbase suggests that every increase in the ticket price by would reduce attendance by 50. y = 3x + 7.