Function questions
503 published questions with worked solutions.
- If f(x)= x-1 x-4 defines a function on R , then what is its domain?
- A function f : A R is defined by the equation f(x)=x^2-4x+5 where A=(1, 4). What is the range of the function?
- What is the domain of the function f(x)= 1-(x-1)^2 ?
- If f(x)=4x+3, then what is f f f(-1) equal to?
- Consider the following statements : 1. If f is the subset of Z Z defined by f= (xy, x-y); x, y Z , then f is a function from Z to...
- Let A= 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 and let f:A N be defined by f(x)= the highest prime factor of x. How many elements are...
- If f(x)=4x+1 and g(x)=kx+2 such that f g(x)=g f(x), then what is the value of k?
- A mapping f:A B defined as f(x)= 2x+3 3x+5 , x A. If f is to be onto, then what are A and B equal to?
- What is the range of the function f(x)=x+|x| if the domain is the set of real numbers?
- Let A= 1, 2, 3, , 20 . Define a relation R from A to A by R= (x, y) : 4x-3y=1 , where x, y A. Which of the following statements...
- Let A= x R : -1<x<1 . Which of the following is/are bijective functions from A to itself? 1. f(x)=x|x| 2. g(x)= ( x) Select the...
- Let A= 1, 2, 3, 4, 5 and B= 6, 7 . What is the number of onto functions from A to B?
- If f(x)=ax-b and g(x)=cx+d are such that f(g(x))=g(f(x)), then which one of the following holds?
- Consider the following relations from A to B, where A= 1, 3, 5 and B= 2, 4, 6, 8 : I. (1, 2), (3, 2), (3, 6), (5, 8) II. (3, 4),...
- What is the domain of the function f(x)= _xe?
- Consider the following statements in respect of the function f:R- 3 5 R- 3 5 such that f(x)= 3x+2 5x-3 : I. f(x) is a bijective...
- Consider the following statements : 1. A function f: Z Z , defined by f(x)=x+1, is one-one as well as onto. 2. A function f: N N...
- What is the domain of the function f(x)=3^x?
- What is the period of the function f(x)= (2+ ^2x)?
- What is the range of the function f(x)=1- x defined on entire real line?
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