Question

Determine algebrically if f(x)=4x³-5x is odd or even function​

Answer 1

Odd function

Explanation:

So to see if a function is odd or even we need to plug in a negative x for x, so f(-x)=4(-x)^3-5(-x). This produces -4x^3+5x, which is the exact opposite of the original equation, so it is an odd function. If it were even, then the signs of the coefficients would be the same as the original function.