**Quantitative Aptitude Practice questions on Functions**: This practice set has 8 questions with their answers & Explanatory answer covering topics from the areas of Quantitative Aptitude.

**1. How many onto functions can be defined from the set A = {1, 2, 3, 4} to {a, b, c}?**

A. 81

B. 79

C. 36

D. 45

**2. f(x + y) = f(x)f(y) for all x, y, f(4) = +3 what is f(-8)?**

A. 1/3

B. 1/9

C. 9

D. 6

**3. Find the maximum value of f(x); if f(x) is defined as the Min {-(x – 1) ^{2} + 2, (x – 2)^{2} + 1}**

A. 1

B. 2

C. 0

D. 3

**4. Consider functions f(x) = x ^{2} + 2x, g(x) = and h(x) = g(f(x)). What are the domain and range of h(x)?**

A. 1

B. 2

C. 0

D. 3

**5. [x] = greatest integer less than or equal to x. If x lies between 3 and 5, what is the probability that [x ^{2}] = [x]^{2}?**

A. Roughly 0.64

B. Roughly 0.5

C. Roughly 0.14

D. Roughly 0.36

**6. Give the domain and range of the following functions:**

A. f(x) = x^{2} + 1

B. g(x) = log(x + 1)

C. h(x) = 2x

D. f(x) = 1/(x+1)

E. p(x) = |x + 1|

F. q(x) = [2x], where [x] gives the greatest integer less than or equal to x

**7. How many elements are present in the domain of ^{9–x}C_{x+1}?**

A. 5

B. 6

C. 4

D. 7

**8. f(x + y) = f(x)f(y) for all x, y, f(4) = + 3 what is f(–8)?**

A. 1/3

B. 1/9

C. 9

D. 6

**Answer Key –**

**1.** C

**2.** B

**3.** B

**4.** Domain: ( -∞, +∞), Range -[0, ∞]

**5.** C

**6.** ----

**7.** B

**8.** B

**Solutions Link – **http://iim-cat-questions-answers.2iim.com/quant/algebra/functions/

## Comments