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Domain and Range Calculator
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Domain and Range Calculator (also known as Domain calculator) helps us to find the values of the domain and range for a given function. It will also give us the graph of the range and domain for the given function so sometimes known as domain and range finder. Domain of a function calculator is a easy tool where you have to enter the function in the given space so that you will get the domain and range of the given function once you click on submit.

We have combined both Domain Calculator and Range Calculator, so that you can get both domain and range values together. 
You can see a default function given below. When u click on "Calculate Domain and Range", the calculator finds the domain of function by giving up the possible values of independent variable and also finds possible values of the dependent variable for the range of function.
 

Steps for Domain and Range Calculator

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Step 1 :  

Observe the given function



Step 2 :  

Find the domain and range of the given function based on the defined interval notation.



Problems on Domain and Range Calculator

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  1. Find the Domain and Range of of $\frac{1}{(x-1)}$


    Step 1 :  

    Given function $\frac{1}{(x-1)}$.



    Step 2 :  


    If we give the value of x as 1, it will the denominator as zero. So the value of the function will become infinity. so, the domain of the given function will be 



    Answer  :  

    Domain {x belongs to R : x$\neq$1}

     

     

     

    Range {y belongs to R : y$\neq$0}



  2. Find the Domain and Range of x2-2.


    Step 1 :  

    Given function is x2-2.



    Step 2 :  

    The set of entire real numbers will be the domain of the given function and the range will vary based of the function f(x). Since we assumed the value of x as rel number, x2 value will become zero or above. Hence x2 > = 0. subract 2 from both sides to get the desired expression. Hence the Range will exist above -2.



    Answer  :  

    Domain R ( all real numbers)

     

     

     

    Range {ybelongs to R: y>= -2}



  3. A company is providing internet plans for a short period. If company charges 10 dollars for an hour. What are the domain and range of this function?


    Step 1 :  

    Since company is charging 10 dollars for an hour.


    1 hour(h) = 10 dollars(d)



    Step 2 :  

    Domain = All positive real numbers (h $\geq$ 0)


    Because user can’t use internet plans for negative hours


    Range = All positive real numbers (d $\geq$ 0)


    Because company can’t make negative money


    Note: Company can make 0 dollars if no user takes their plans.



    Answer  :  

    Domain = All positive real numbers

     

    Range = All positive real numbers



  4. Jacsina is selling her accessories to raise funds for poor children. The cost of each accessory is 1 dollar. Find the domain and range? 


    Step 1 :  

    : Let she made x amount by selling c number of her accessories.


    x(c) = 1 . c



    Step 2 :  

    Domain = Whole numbers (except 0, because she cant sell zero accessories).


    Range = Whole numbers (She makes zero dollar if she sells zero her accessories).



    Answer  :  

    Domain = Whole numbers (except 0)

    Range = Whole numbers



  5. In one of the college admission tests, Smith has simplified the expression $\frac{x+1}{x^2+10x+9}$. Later he tried to find the domain for this expression. What will be the answer.


    Step 1 :  

    Given expression is $\frac{x+1}{x^2+10x+9}$



    Step 2 :  

    Find the factors of denominator x$^2$+10x+9


    x$^2$+10x+9 = x$^2$+9x+x+9 = x(x + 9) + (x + 9) = (x + 1)(x + 9)


    Factors of denominators are (x + 1)(x + 9)


    Domain = All real numbers except -9 or -1.



    Answer  :  

     All real numbers except -9 or -1.



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