Topic explanation

Standard explanation

f is even if f(-x)=f(x), odd if f(-x)=-f(x); otherwise it is neither.

Key points

• Even and odd functions
• rule
• worked example
• Even and odd functions: f is even if f(-x)=f(x), odd if f(-x)=-f(x); otherwise it is neither.
• CONCEPT AND RULE: f is even if f(-x)=f(x), odd if f(-x)=-f(x); otherwise it is neither.
• METHOD: For even and odd functions, identify the given information and required result. Select the matching
• f is even if f(-x)=f(x), odd if f(-x)=-f(x); otherwise it is neither.
• Worked pattern: x^4+2 is even, while x^3-x is odd.

Labelled diagram