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Pre-Calculus Practice Problem 24

Pre-Calculus Practice Problem 24 - maximum What is its...

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Unit 1, Activity 2, Functions and their Graphs with Answers Blackline Masters, Advanced Math – Pre-Calculus Page 22 Louisiana Comprehensive Curriculum, Revised 2008 5. The sketch below shows part of the graph of y = f(x) which passes through the points A(-1,3), B(0, 2), C(1,0), D(2, 1), and E(3, 5). a) On which intervals is f (x) increasing? increasing -3 < x < -1 and 1 < x < 3 b) On which intervals is f (x) decreasing? decreasing -1 < x < 1 c) What are the zeros? f(-3) = 0 and f(1) = 0 d) Identify the location of the relative
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Unformatted text preview: maximum. What is its value? Relative maximum is located at x = -1. Its value is 3. e) Identify the location of the relative minimum. What is its value? The relative minimum is located at x = 1. Its value is 0. f) A second function is defined by g(x) = f ( x – 1) + 2. i) Calculate g (0), and g (3). g(0) = 5 and g(3) = 3 ii) On the same set of axes sketch a graph of the function g ( x ). (ii) The new graph should pass through the points (0, 5), (1, 4), (2, 2) (3, 3) and (4, 7) as shown below....
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