Functions
Periodic Functions
MJMT_Full_Test_04
Grade 12
Question:
Let $f$ be an even periodic function with period 2, and $f(x) = x$ for $x \in [0, 1]$. Then $f(3.14)$ equals
Step-by-Step Solution
Key Concept: Reduce argument modulo 2; use even symmetry if needed.
$f(3.14) = f(3.14 - 2) = f(1.14) = f(2 - 1.14) = f(0.86) = 0.86$ (using even symmetry and period 2).
Correct Answer: 2