Question

How to determine if a function is odd or even.

A) Odd and even functions test
B) Linear programming
C) Quadratic regression
D) Logarithmic expression

Answer 1

To determine if a function is odd or even, you can use the odd and even functions test. Plugging in -x into the function and checking if it equals the negative of the original function or the original function itself helps determine if the function is odd or even.

Step-by-step explanation:

In general, to determine if a function is odd or even, you can use the odd and even functions test. This test involves plugging in -x into the function and checking if it equals the negative of the original function or the original function itself. If it equals the negative of the original function, then the function is odd. If it equals the original function, then the function is even.

For example, let's consider the function f(x) = x^3 - x. To determine if it's odd or even, we plug in -x into the function:

f(-x) = (-x)^3 - (-x) = -x^3 + x

Comparing this with the original function, we can see that f(-x) = -(f(x)). Therefore, the function is odd.