Description
Problems #22. For the following functions, a) Determine analytically (using algebra) if the function is even, odd, or neither. b) Identify any intercepts. c) Graph the function using Desmos. 22) 𝑓(𝑥) = 2𝑥 / 𝑥 2+1
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Explanation & Answer
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𝒇(𝒙) =
𝟐𝒙
+𝟏
𝒙𝟐
a) Determine analytically (using algebra) if the function is even, odd, or neither.
Check if Even:
𝑓(𝑥) =
𝑓(𝑥) =
2𝑥
+1
𝑥2
2(−𝑥)
(−𝑥)2 + 1
𝑓(−𝑥) =
−2𝑥
𝑥2 + 1...