Algebra I: Finding the domain and range of the functions
This is a free lesson from our course in Algebra I
 
   
In this lesson you'll learn how to find the range and domain of a function from its equation. The range of f is the set of all values that the function takes when x takes values from the domain. Let's take an example to understand this better. Let's say we have a funtion y = f(x) = x2 + 3. As long as x is a real number, y is always going to be a real number as well, hence the domain of this function is x = R. Also, for all values of x, x2 is going to be 0 or higher, hence the range of this function, i.e. the value of f(x) >= 3.
The domain of a function is the complete set of possible values of the independent variable in the function i.e. the domain of a function is the set of all possible x values which will make the function "work" and will output real y-values.(More text below video...)
<h2> Finding the domain and range of the functions - Watch video (Algebra I)</h2> <p> function, range, equation, domain, number, value, find, math help, example, real, number, practice questions, solution</p> <p> The range of f is the set of all values that the function takes when x takes values from the domain. Let&rsquo;s say we have a funtion y = f(x) = x<SUP>2</SUP> + 3.</p>
Other useful lessons:
Types of functions
One to many relationship
Finding the domain of function
Identify if the graph is a function or not
Finding the domain and range of an equation
Determine domain and range from a finite set of ordered pairs
(Continued from above) When finding the domain, remember:
     the denominator (bottom) of a fraction cannot be zero
     the values under a square root sign must be positive
The range of a function is the complete set of all possible resulting values of the dependent variable of a function, after we have substituted the values in the domain i.e. The range of a function is the possible values of a function that result when we substitute all the possible y-values into the function.
When finding the range, remember:
     substitute different x-values into the expression for y to see what is happening
     make sure you look for minimum and maximum values of y
Winpossible's online math courses and tutorials have gained rapidly popularity since their launch in 2008. Over 100,000 students have benefited from Winpossible's courses... these courses in conjunction with free unlimited homework help serve as a very effective math-tutor for our students.
- All of the Winpossible math tutorials have been designed by top-notch instructors and offer a comprehensive and rigorous math review of that topic.
- We guarantee that any student who studies with Winpossible, will get a firm grasp of the associated problem-solving techniques. Each course has our instructors providing step-by-step solutions to a wide variety of problems, completely demystifying the problem-solving process!
- Winpossible courses have been used by students for help with homework and by homeschoolers.
- Several teachers use Winpossible courses at schools as a supplement for in-class instruction. They also use our course structure to develop course worksheets.
 
       
     
 Copyright © Winpossible, 2010 - 2011
Best viewed in 1024x768 & IE 5.0 or later version