SOLUTION: Determine analytically if the following functions are even, odd, or neither a. f(x) = 5x ^3/(2x) b. f(x) = x ^2 + 3x + 2
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-> SOLUTION: Determine analytically if the following functions are even, odd, or neither a. f(x) = 5x ^3/(2x) b. f(x) = x ^2 + 3x + 2
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Question 1113708
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Determine analytically if the following functions are even, odd, or neither
a. f(x) = 5x ^3/(2x) b. f(x) = x ^2 + 3x + 2
Answer by
CubeyThePenguin(3113)
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a) f(x) = 2x^2
f(-x) = 2(-x)^2 = 2x^2
f(x) is even.
b) f(x) = x^2 + 3x + 2
f(-x) = (-x)^2 + 3(-x) = 2 = x^2 - 3x + 2
f(x) is neither even nor odd.