Graphing a function involves plotting points on a coordinate plane to visually represent the relationship between the input and output values of the function. This allows us to better understand the behavior and patterns of the function.
The range (-4,4) indicates the interval or section of the x-axis where we will graph the function. In this case, it means we will graph the function for all input values between -4 and 4 (excluding the endpoints).
To graph a function, you can choose any input value within the given range (-4,4) and plug it into the function to find the corresponding output value. Repeat this process for several input values and plot the points on the graph. You can also use a graphing calculator or online tool to help you plot the points.
Yes, there are a few guidelines to follow when graphing a function on a coordinate plane. First, label the x and y-axis with appropriate units. Then, plot the points accurately and connect them with a smooth curve. Finally, include a title and a key/legend if necessary.
The graph of a function on (-4,4) can give us information about the behavior of the function, such as its increasing or decreasing intervals, its maximum and minimum points, and its symmetry (if any). It can also help us identify any patterns or relationships between the input and output values of the function.