Simple explanation for domain and range. Problems with detailed solutions on finding domain and range of functions. What is the range of a function? What is domain of a function? Worked example: domain and range

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A step by step detailed **worked examples** of **Domain** and **Range** of a **Function. **Problems with detailed solutions on finding domain and range of functions were provided below. Before proceeding on worked examples check our previous post **what is domain** and **what is range of a function**? **Steps to solve domain** and **range of a function**.

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*Worked examples: Domain of a function *

- Generally in question they do provided data whether x is less/greater/equal to the supplied number. But if they do no mention data then we will assume x as negative.

- Next, Since the number is under root therefore (2 - x) would be greater equal to zero, i.e., 2-x is greater equal to 0. which yields x less equal to 2.

- Same trick as of Q.1 is applied in this problem. After doing some simple calculations on last line it will be found that x is greater than both 1 and 8. So the domain of the function is bounded in between [1,8] .

Check more solved examples on domain of a function

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* Worked examples: Range of a function*

- For solving problems like of above at first the numerator and denominator have to be simplified to its simplest form.

- After that we have to find value(solution) of "y".

- Obviously in step ii we got 2 values of y, if done correctly in step 2, taking those value we will represent range of the function.

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