Further Maths - Odd and Even Functions

Pearson Edexcel Further Mathematics 2022

Definitions of parity

What is the definition of an even function?

\[f(x) = f(-x)\]

What is the definition of an odd function?

\[-f(x) = f(-x)\]

What is the parity of $x^2$?

Even

What is the parity of $x^3$?

Odd

What is special geometrically about even functions?

The function is symmetric with the $y$-axis.

What is special geometrically about odd functions?

The function has $180^{\circ}$ rotational symmetry with respect to the origin.

What is the parity of $\sin x$?

Odd

What is the parity of $\cos x$?

Even

Further Maths - Radians^A

(sim: 0.547)
Further Maths - Trigonometry Values^A

(sim: 0.481)
Further Maths - Syllabus^A

(incoming)
Maths - Compound Functions^A

(sim: 0.479)
Maths - Angle Facts^A

(sim: 0.478)
MAT - Paper 2015 - Q1B^N

(sim: 0.614)