Domain and Range Practice Problems

Domain and Range of a Function Worksheet

Solved Questions on Domain and Range

Practice problems on Domain and Range in statistics are provided below:

Domain and Range Quiz

1. What is the domain of the function f(x) = √(x − 41) ?

A) x ≥ 0

B) x > 41

C) x ≥ 41

D) x ≤ 41

2. Which of the following functions has a range of (−∞,0] ?

A) g(x) = 1/x

B) h(x) = √x

C) k(x) = sin(x)

D) m(x) = e^x

3. What is the range of the function f(x) = 1/ (x+2) ?

A) y > 0

B) y ≤ 0

C) y ≠ 0

D) y ≠ −2

4. For which of the following functions is the domain all real numbers?

A) g(x) = 1/(x−3)

B) h(x) = x²−9

C) k(x) = ln(x+2)

D) m(x) = tan(x)

5. What is the domain of the function f(x) = log(x²+4) ?

A) x > 0

B) x ≥ 0

C) x ≠ 0

D) x ∈ R

Answers

C) x ≥ 41
B) h(x) = √x
B) y ≤ 0
A) g(x) = 1/(x−3)
B) x ≥ 0

Domain and Range of a Function

Domain and Range of a Function: Domain and Range are the input and output values of a Function. A function is defined as the relation between a set of inputs and their outputs, where the input can have only one output i.e. a domain can yield a particular range. It depicts a relationship between an independent variable and a dependent variable.

A function is usually denoted by y = f(x), where x is the input. A function is a relation f from a set X to another set Y, where each element in X has exactly one output in Y, and it is represented as f: X→Y. Here the set X is known as the domain of a function, and the set Y is called the co-domain of the function. Every function has a domain, codomain, and range that help in defining the function.

In this article, we will learn about the domain and range of a function, how to calculate the domain and range of a function, the domain and range of a function worksheet, the domain and range of a function examples, domain and range of a function graph, and others in detail.

Table of Content

What is Domain and Range?
Interval Notation of Domain and Range
Co-Domain and Range
Domain of a Function
How to Find the Domain of a Function?
Range of a Function
How to Find the Range of a Function?
How to Find Domain and Range
Domain and Range of a Function Examples
Quadratic Domain and Range
Domain and Range of Exponential Functions
Domain and Range of Trigonometric Functions
Domain and Range of Inverse Trigonometric Functions
Domain and Range of an Absolute Value Function
Domain and Range of a Square Root Function
Domain and Range of a Rational Function
Log Function Domain and Range
Domain and Range of Greatest Integer Function
Domain and Range of a Function Graph
Domain and Range of a Function Worksheet

Domain and Range Worksheet PDF