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Complete the problems in their entirety. Be sure all graphs are completely accurate, meaning they must have the correct shapes, key points, and intercepts. Be sure all graphs pass the Vertical Line Test. 1. Graph the following functions on separate axes. (a) f(x) = (x - 2)² + 1 (b) g(x) = |x| 2 - (c) Now graph the following piecewise-defined function. F(x) = S|x|- - 2 [(x−2)² + 1 x>1 x < 1

Complete the problems in their entirety. Be sure all graphs are completely accurate, meaning they must have the correct shapes, key points, and intercepts. Be sure all graphs pass the Vertical Line Test. 1. Graph the following functions on separate axes. (a) f(x) = (x - 2)² + 1 (b) g(x) = |x| 2 - (c) Now graph the following piecewise-defined function. F(x) = S|x|- - 2 [(x−2)² + 1 x>1 x < 1

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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Complete the problems in their entirety. Be sure all graphs are completely accurate, meaning they must have the correct shapes, key points, and intercepts. Be sure all graphs pass the Vertical Line Test. 1. Graph the following functions on separate axes. (a) f(x) = (x − 2)² + 1 - (b) g(x) = |x|—– 2 (c) Now graph the following piecewise-defined function. F(x) |x|-2 x ≤ 1 (x − 2)² +1 x>1
Transcribed Image Text:Complete the problems in their entirety. Be sure all graphs are completely accurate, meaning they must have the correct shapes, key points, and intercepts. Be sure all graphs pass the Vertical Line Test. 1. Graph the following functions on separate axes. (a) f(x) = (x − 2)² + 1 - (b) g(x) = |x|—– 2 (c) Now graph the following piecewise-defined function. F(x) |x|-2 x ≤ 1 (x − 2)² +1 x>1
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