Determine if the function is even or odd

The video tutorial explains the concept of odd functions, highlighting that when you plug in negative X, you get the opposite of the original function. It uses graphical representation and examples, such as the cubic function, to illustrate the symmetry about the origin. The tutorial also includes calculations to demonstrate how odd functions work, emphasizing the opposite values obtained when negative inputs are used.

What is the defining characteristic of an odd function when a negative input is used?

• The output is the opposite of the original function.

• The output is the same as the original function.

• The output is undefined.

• The output is zero.

Which of the following functions is an example of an odd function?

• Quadratic function

• Cubic function

• Constant function

• Exponential function

What is the value of 2 cubed?

• 10

• 8

• 6

• 4

If f(x) = x^3, what is f(-2)?

• 4

• 8

• -4

• -8

How does the output of an odd function change when the input is negated?

• It doubles.

• It becomes the opposite.

• It remains the same.

• It becomes zero.