Functions : Algebra Practice Questions

Functions question tested in the quantitative reasoning / aptitude section could range from very easy to medium level difficulty questions in CAT. The easier variants are tested in the quant section of GMAT and the GRE. Concept tested includes finding value of an unknown, determining the domain, codomain and range of functions, determining whether the given function is odd, even or neither odd nor ever. Concepts including whether a function is an invertible function, into function, onto function are also occasionally tested only in IIM's CAT.

1. If f(x² – 1) = x⁴ – 7x² + k₁ and f(x³ – 2) = x⁶ – 9x³ + k₂ then the value of (k₂ – k₁) is _____

   1. 6
   2. 7
   3. 8
   4. 9
   5. None of the above

   Choice CThe value of (k₂ – k₁) = 8 Correct answer Explanatory Answer Video Explanation XAT 2015

2. If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?

   1. 107
   2. 127
   3. 147
   4. None of these

   Concept: Identifying a function

   Choice (2)The value of f(3, 10) is 127 Correct answer Explanatory Answer Medium

3. Which of the following is not an odd function?

   1. f(x) = -x³
   2. f(x) = x⁵
   3. f(x) = x² - x
   4. f(x) = |x|³

   Concept: Odd and Even Functions

   Choice (4)f(x) = |x|³ is an even function Correct answer Explanatory Answer Easy