Question

which of the following graphs represents an odd function?
a)

b)

c)

d)

Explanation:

An odd function satisfies $f(-x) = -f(x)$, meaning its graph is symmetric about the origin (rotates 180° around the origin to map onto itself).

• Option a: Exponential curve, no origin symmetry.
• Option b: Symmetric about the y-axis (even function).
• Option c: Symmetric about the origin, matches odd function property.
• Option d: Symmetric about the y-axis (even function).

Answer:

c) <graph symmetric about the origin>