CAT 2000 — QA Question 29
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
2
- C
3
- D
4
Solution
In the given figure, f(3) = −1, f(−3) = 1
i.e. f(3) = −f(−3)
∴ (1), (3) and (4) cannot be correct choices.
If we check with remaining values we conclude that f(x) = −f(−x)
Hence, option (b).