Is the function even or odd? How you can tell

The video tutorial explains how to determine if a function is even or odd. Initially, it reviews the graphical properties of even and odd functions. The instructor then introduces an algebraic method to determine function type by plugging in negative x. An example using x^3 is provided to illustrate the concept of odd functions. Finally, the video demonstrates using specific numbers to identify whether a function is even or odd.

What is the primary method discussed for determining if a function is even or odd?

• Using a graphing calculator

• Checking the function's domain

• Reflecting the graph about the X-axis

• Substituting negative x into the function

What happens to an expression raised to an odd power when the base is negative?

• It becomes positive

• It becomes undefined

• It remains negative

• It becomes zero

If a function f(x) is odd, what should be the result of f(-x)?

• 2f(x)

• 0

• -f(x)

• f(x)

In the example of the function x^3, what is the result of substituting -2?

• 8

• 4

• -8

• -4

What is the result of substituting 1 into the function x^3?

• 1

• -1

• 3

• -3