Find The Domain And Range Of The Function Graphed Below
Domain and Range of a Function Graph
The domain and range of a function are two important concepts in mathematics. Knowing the domain and range of a function graph allows us to understand the behavior of the function more easily. In this article, we will discuss how to find the domain and range of a function graph.
What is the Domain and Range of a Function?
The domain of a function is the set of all input values for which the function is defined. In other words, it is the set of all x-values which will produce a y-value when plugged into the function. The range of a function is the set of all output values of the function. In other words, it is the set of all y-values which are produced by the function.
How to Find the Domain and Range of a Function Graph?
Finding the domain and range of a function graph is a simple process. First, identify the x-values and y-values of the graph. The x-values are the domain of the function, and the y-values are the range of the function.
For example, if you have a graph that looks like this:
y = x + 3
The domain of the function is all of the x-values, which in this case are all real numbers. The range of the function is all of the y-values, which in this case are all real numbers greater than or equal to 3.
Another example is a graph that looks like this:
y = x2
The domain of the function is all of the x-values, which in this case are all real numbers. The range of the function is all of the y-values, which in this case are all real numbers greater than or equal to 0.
Finding the Domain and Range of a Function Graph with a Table
Finding the domain and range of a function graph can also be done using a table. To do this, first create a table with two columns. In the first column, write down the x-values, and in the second column, calculate the corresponding y-values. The x-values are the domain of the function, and the y-values are the range of the function.
For example, if you have a graph that looks like this:
y = x + 3
You could create a table like this:
X Y
-2 1
0 3
2 5
The domain of the function is all of the x-values, which in this case are -2, 0, and 2. The range of the function is all of the y-values, which in this case are 1, 3, and 5.
Conclusion
In conclusion, the domain and range of a function graph can be found by looking at the x-values and y-values of the graph, or by creating a table with the x-values and corresponding y-values. Knowing the domain and range of a function graph is an important part of understanding the behavior of the function.
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