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CAT 1993 — QA Question 24

Even / Odd FunctionsEasy
Passage / Data

Answer the next 2 questions based on the information given below:

A function f(x) is said to be even if f(–x) = f(x), and odd if f(–x) = –f(x). Thus, for example, the function given by f(x) = x2 is even, while the function given by f(x) = x3 is odd. Using this definition, answer the following questions.

The function given by f(x) = |x|3 is

Answer & solution

  • even

  • B

    odd

  • C

    neither

  • D

    both

Solution

f(x) = |x|3

∴ f(–x) = |–x|3 = |x|3 = f(x).

Since, f(-x) = f(x), the given function is even.

Hence, option (a).

CAT 1993 QA Q24: The function given by f(x) = |x| 3 is — Solution | TheCATExam