Linear Function Graph Domain And Range

We can also talk about domain and range based on graphs.

Linear function graph domain and range. The domain is all x values or inputs of a function and the range is all y values or outputs of a function. Then determine whether the relation or equation is a function and state whether it is discrete or continuous. 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.

Graph each relation or equation and find the domain and range. The domain of this function is the set of all real numbers. How to make a table of values on the ti89.

As an example there are points on the graph below at x 3 2 5 2 0 5 2 5 3 3 2 4. To find the range is a bit trickier than finding the domain. There s one notable exception.

From the above graph you can see that the range for x 2 green and 4x 2 25 red graph is positive. I highly recommend that you use a graphing calculator to have an accurate picture of the. The range of a non horizontal linear function is all real numbers no matter how flat the slope might look.

Remember that input values are almost always shown along the horizontal axis of the graph. Hence for a function f defined by its graph the implied domain of f is the set of all the real values x along the x axis for which there is a point on the given graph. Linear functions any function of the form f x m x b where m is not equal to 0 is called a linear function.

Since domain refers to the set of possible input values the domain of a graph consists of all the input values shown on the graph. When y equals a constant like y 4 or y 19. The range of f is the set of all real numbers.