What is the easiest way to find the domain and range of a function?
Step 1: Write the given function in its general representation form, i.e., y = f(x). Step 2: Solve it for x and write the obtained function in the form of x = g(y). Step 3: Now, the domain of the function x = g(y) will be the range of the function y = f(x).
How to find the domain of a linear function without graphing?
Finding the range of a rational function is similar to finding the domain of the function but requires a few additional steps. First, interchange values of x and y in the function. For example if the function is y = 1/x, interchanging the values of x and y produces x=1/y. Then, solve the expression for y.
How do you find the range of a rational function without graphing?
Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.