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2; if x < -1 Let f(x) = { (x - 1)² - 2; if-1 s x< 4 4 - x; if x > 4. (a) Find the values for f(x) when x = -3, -2, - 12, - 1, 0, ½ , 1, 3, 4, 5, 6 (b) Sketch the graph of y = f(x). %3D (c) State domain and range. Find the x-coordinate(s) at which f(x) is discontinuous. (d) Determine the intervals where f(x) increases, decreases, and constant

2; if x < -1 Let f(x) = { (x - 1)² - 2; if-1 s x< 4 4 - x; if x > 4. (a) Find the values for f(x) when x = -3, -2, - 12, - 1, 0, ½ , 1, 3, 4, 5, 6 (b) Sketch the graph of y = f(x). %3D (c) State domain and range. Find the x-coordinate(s) at which f(x) is discontinuous. (d) Determine the intervals where f(x) increases, decreases, and constant

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2; if x < -1 Let f(x) = { (x - 1)² - 2; if-1 sx<4 4 - x; if x > 4. (a) Find the values for f(x) when x = -3, -2, – 1½, - 1, 0, ½ , 1, 3, 4, 5, 6 %3D (b) Sketch the graph of y = f(x). (c) State domain and range. Find the x-coordinate(s) at which f(x) is discontinuous. (d) Determine the intervals where f(x) increases, decreases, and constant
Transcribed Image Text:2; if x < -1 Let f(x) = { (x - 1)² - 2; if-1 sx<4 4 - x; if x > 4. (a) Find the values for f(x) when x = -3, -2, – 1½, - 1, 0, ½ , 1, 3, 4, 5, 6 %3D (b) Sketch the graph of y = f(x). (c) State domain and range. Find the x-coordinate(s) at which f(x) is discontinuous. (d) Determine the intervals where f(x) increases, decreases, and constant
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