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Part One: The graph of f (x) is shown below. Consider the function h(x) = \f(x)|. a) Complete the table for h(x) and graph as you go. -5 -4 -3 -2 -1 1 4 6. h(x) = If(x)| b) Explain how the graph of h(x) differs from the graph of f (x).

Part One: The graph of f (x) is shown below. Consider the function h(x) = \f(x)|. a) Complete the table for h(x) and graph as you go. -5 -4 -3 -2 -1 1 4 6. h(x) = If(x)| b) Explain how the graph of h(x) differs from the graph of f (x).

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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Part Two: Now consider the function j(x) = f(lxl). a) Complete the table for h(x) and graph as you go. For example, j(-5) = f(l–5|) = f(5) = 2 -5 -4 -3 -2 -1 1 2 4 j(x) = f(\x\) 2 %3D b) Is -6 in the domain of f? Is -6 in the domain of j?. Explain: c) domain of j: range of j: d) Is j(x) = f(\x|) an even function? Justify algebraically. 6, 3.
Transcribed Image Text:Part Two: Now consider the function j(x) = f(lxl). a) Complete the table for h(x) and graph as you go. For example, j(-5) = f(l–5|) = f(5) = 2 -5 -4 -3 -2 -1 1 2 4 j(x) = f(\x\) 2 %3D b) Is -6 in the domain of f? Is -6 in the domain of j?. Explain: c) domain of j: range of j: d) Is j(x) = f(\x|) an even function? Justify algebraically. 6, 3.
Part One: The graph of f (x) is shown below. Consider the function h(x) = \f(x)|. a) Complete the table for h(x) and graph as you go. -5 -4 -3 -2 -1 0 1 3 4 6 h(x) = If(x)| b) Explain how the graph of h(x) differs from the graph of f(x).
Transcribed Image Text:Part One: The graph of f (x) is shown below. Consider the function h(x) = \f(x)|. a) Complete the table for h(x) and graph as you go. -5 -4 -3 -2 -1 0 1 3 4 6 h(x) = If(x)| b) Explain how the graph of h(x) differs from the graph of f(x).
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