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Solve: Odd, Even, or Neither Functions

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Determine whether each of the following functions is odd, even or neither.

a. f(x) = 3x^2 + 4x^3
b. f(x) = 5x^-2 - 4x^4
c. f(x) = x^3 - x

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Solution Summary

Three examples of functions and determination of whether each is odd, even or neither is provided in this solution with an attached Word copy. Graphs of each function are included within the Word document.

Solution Preview

By definition, a function is even if it is symmetric to the Y axis, that is if:
f(x) = f(-x)
for all values of x.

A function is odd if it is symmetric with respect to the ...

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