CAT 2000 — QA Question 28
Even / Odd FunctionsEasy
Passage / Data
Given below are three graphs made up of straight-line segments shown as thick lines. In each case choose the answer as
1. if f(x) = 3 f(–x);
2. if f(x) = –f(–x);
3. if f(x) = f(–x); and
4. if 3 f(x) = 6 f(–x), for x ≥ 0.
Answer & solution
- A
1
- B
2
- C
3
4
Solution
As per the given figure,
f(1) = 2, f(−1) = 1
∴ (1), (2) and (3) cannot be correct choices.
f(1) = 2f(−1)
i.e., 3 f(1) = 6 f(−1)
∴ 3f(x) = 6 f(−x)
Hence, option (d).