Domain And Range From The Graph Of A Continuous Function

This is a topic level video of domain and range from the graph of a continuous function for the asu college algebra and problem solving course.

Domain and range from the graph of a continuous function. The range is the set of possible output values which are shown on the latex y latex axis. The range is all the values of the graph from down to up. This section is related to the earlier section on domain and range of a function there are some functions that are not defined for certain values of x. Continuous and discontinuous functions.

The graph of f x is continuous i e. The domain of the function f x is. A continuous domain means that all values of x included in an interval can be used in the function. The domain of y sin x is all values of x since there are no restrictions on the values for x.

Break in the curve in the respective domain. If 0 a 1 decreases as x increases. If the domain of a function was the interval from 1 to 2 that would mean that all values. In a continuous graph to determine the domain you should focus on looking left to right of the graph.

Another way to identify the domain and range of functions is by using graphs. When looking at a graph the domain is all the values of the graph from left to right. The domain is all x values or inputs of a function and the range is all y values or outputs of a function. 1 domain 2 domain 3 domain.

Because the domain refers to the set of possible input values the domain of a graph consists of all the input values shown on the x axis the range is the set of possible output values which are shown on the y axis keep in mind that if the graph continues beyond the portion of the graph we can see the domain and. We use interval notation to help us describe the domain and range for graphs that represent continuous situations. In a continuous graph to determine the range you should focus on looking bottom to top of the graph. Put any number into the sin function in your calculator.

If a 1 y increases as x increases as seen from graph. Another way to identify the domain and range of functions is by using graphs. Any number should work and will give you a final answer between 1 and 1 from the calculator experiment and from observing the curve we can see the range is y betweeen 1 and 1 we could write this as 1 y 1. State the domain and range for each graph and then tell if the graph is a function write yes or no.

Domain and range worksheet 1 name.