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 1113891: 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 MathLover1(20850) (Show Source):
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Replace with and compare the result to .
If , the function is .
If , the function is .
If and , the function is .
Remember that if is even, and if is odd
So, in your case we have:
a. … replace with …..since , the function is
b.
….since and , the function is .
