Is the function even or odd? How to tell

The video tutorial explains the concept of even functions, highlighting that if you plug in negative X into an even function, you will get the same result as plugging in positive X. It uses the quadratic function as a primary example, demonstrating that even functions are symmetric about the Y-axis. The tutorial emphasizes understanding the properties and rules of even functions rather than memorizing them.

What happens to a negative number when it is squared?

• It becomes negative.

• It remains negative.

• It becomes positive.

• It remains unchanged.

What is the defining property of an even function?

• F(x) = -F(x)

• F(x) = F(-x)

• F(x) = 0

• F(x) = x^2

Which of the following is a common example of an even function?

• Exponential function

• Cubic function

• Quadratic function

• Linear function

If F(x) = 4 for x = 2, what is F(-x) for x = -2 in an even function?

• 2

• 4

• -4

• 0

Why does the value of an even function remain the same for both positive and negative inputs?

• Because it is always zero

• Because it is a linear function

• Because it is symmetric about the x-axis

• Because it is symmetric about the y-axis