CAT 2000 — QA Question 27
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
3
- D
4
Solution
This is a graph of straight line that is parallel to x-axis passing through (0, 1)
∴ for every x, f(x) = 1
∴ f(x) = f(−x)
Hence, option (c).