Domain And Range Of A Linear Function

The range of a non horizontal linear function is all real numbers no matter how flat the slope might look.

Domain and range of a linear function. Its range is a sub set of its codomain. A graph of a typical line such as the one shown below will extend forever in either y direction up or down. How to make a table of values on the ti89. Linear function a relationship with a constant rate of change represented by a graph that forms a straight line in which each element of the input x is paired with exactly one element of the output y.

Learn how to identify the domain and range of functions from equations. A function maps elements of its domain to elements of its range. You can take a good guess at this point that it is the set of all positive real numbers based on looking at the graph. Linear functions go infinitely in every direction and therefore both the domain and the range of the function are negative to positive infinity.

A 2a domain and range of a linear function definitions. The range of a simple linear function is almost always going to be all real numbers. Range of a function. Make a table of values on your graphing calculator see.

If you simplify the function you can see that it s f x 9x 5 which is a linear function. To find the range is a bit trickier than finding the domain. From the above graph you can see that the range for x 2 green and 4x 2 25 red graph is positive. Find the domain and range of a function with a table of values.

For example the function has a domain that consists of the set of all real numbers and a range of all real numbers greater than or equal to zero. I highly recommend that you use a graphing calculator to have an accurate picture of the. Given a real world situation that can be modeled by a linear function or a graph of a linear function the student will determine and represent the reasonable domain and range of the linear function using inequalities.