1.3 Properties of Graphs of Functions

Question 1

Odd Function

Answer 1

Any function that has rotational symmetry about the origin

Question 2

Even Function

Answer 2

Any function that is symmetric about the y-axis

Question 3

How do you determine algebraically if a function is even, odd or neither?

Answer 3

• Change f(x) to f(-x)
• If all values stay the same it’s even
• If all values change its odd
• If one value changes and one stays the same its neither