The function f(x) = x² is an example of what type of function?
A
Linear
B
Even
C
Odd
D
Inverse
Correct Answer: Option B — Even
Explanation:
f(x) = x² is an even function because f(-x) = (-x)² = x² = f(x). Even functions are symmetric about the y-axis. Odd functions satisfy f(-x) ...
f(x) = x² is an even function because f(-x) = (-x)² = x² = f(x). Even functions are symmetric about the y-axis. Odd functions satisfy f(-x) = -f(x) and are symmetric about the origin. Classifying functions as even odd or neither is a standard algebra and calculus topic in higher competitive exam mathematics papers.