CAT 1999 — QA Question 26
Even / Odd FunctionsEasy
Passage / Data
Answer the next 4 questions based on the following information.
In each of the following questions, a pair of graphs F(x) and F1(x) is given. These are composed of straightline segments, shown as solid lines, in the domain x ∈ (−2, 2).
Choose the answer as
a. if F1(x) = –F(x)
b. if F1(x) = F(–x)
c. if F1(x) = –F(–x)
d. if none of the above is true
Answer & solution
Answer: 4
Solution
The graph F(x) represents the function F(x) = | x |, where x is any real number.
The graph of F1(x) represents the function F1(x) = − x, where x is any real number.
None of the given relationships are satisfied by these two functions.
Alternate solution:
F1(-2) = 2 = F(−2) and F1(2) = −2. But F(2) = 2.
Hence, option (d).