The function f(x) =2x^3 - 8x is an even function.
Odd and even function
A function is known to be even function if the function f(x) is equal to f(-x)
Given the function below;
f(x) = 2x^3 - 8x
Determine the function f(-x)
f(-x) = 2(-x)^3 - 8 (-x)
f(-x) = -2x^3 + 8x
f(-x) = -(2x^3 - 8x)
Since f(x) = 2x^3 - 8x, hence;
f(-x) = f(x)
Therefore the function f(x) =2x^3 - 8x is an even function.
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