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Question
Determine whether the following function is odd or even?
f(x) = x2 – |x|
Sum
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Solution
Given f(x) = x2 – |x|
f(-x) = (-x)2 – |-x|
= x2 – |x|
= f(x)
∴ f(x) is an even function.
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Functions and Their Graphs
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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]
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