Explain how to determine the domain and range of a function. Solution Suppose you have been given a function, f(x) = 2x + 5 Now, domain is basicay the vaues which the independent variable can take. In the above equation x is the independent variabe. Now all the values of x is possible. So domain is ( - infinity to + infinity). Now, range is the values which dependent variable f(x) can take. In the above example f(x) can take any value. So range is ( - infinity to + infinity). Example 2 - f(x) = (x+2)/(x-2) Now for domain, Please see that if x = 2 the value of denominator will be x -2 = 0 and f(x) will become undefinded. So domain is al possible numbers except 2. And again for range please see that f(x) can take any value from - infinity to + infinity..