Which of the Following Functions is Graphed Below?

What Is a Function?

A function is a mathematical relationship between two or more variables. In simple terms, it is a rule that describes how one variable is related to another. For example, the function y = x + 2, describes a relationship between the variables x and y. If x is 3, then y is 5. It is important to understand that for any given value of x, there is only one possible value for y. Therefore, in this example, the function is a one-to-one relationship.

What is a Graph?

A graph is a visual representation of a function. It is a diagram that shows the values of the function on a coordinate plane. Graphs are used to understand the behavior of a function and to predict the values of a function for different inputs. In the graph below, the x-axis represents the input values and the y-axis represents the output values.

Graphing a Function

To graph a function, you first need to determine the domain and range of the function. The domain is the set of all possible input values and the range is the set of all possible output values. Once you have determined the domain and range, you can plot the points on the coordinate plane. The points will form a line, which is the graph of the function.

The Graph Below

The graph below shows a function. To determine which function it is, you need to look at the domain and range of the graph. The x-axis goes from -2 to 2, so the domain of this function is -2 to 2. The y-axis goes from -3 to 3, so the range of this function is -3 to 3. Therefore, this graph is the graph of the function y = x.

Conclusion

The graph above is the graph of the function y = x. Knowing how to read a graph is an important skill in mathematics, as it can help you understand the behavior of a function and predict the values of a function for different inputs. It is also important to understand the meaning of a graph and how to determine the domain and range of a function.