To graph the function using graphing device and find the maximum and minimum value of the function f.
Given information : Use graphing device to graph the function .
Graph : Sketch the graph using graphing utility.
Step 1: Press WINDOW button to access the Window editor.
Step 2: Press button.
Step 3: Enter the expression which is required to graph.
Step 4: Press GRAPH button to graph the function.
The graph is obtained as:
From the above graph, it can be observed that the maximum value is at
To Find: The exact maximum or minimum value of the function and compare it with the above answer.
The value of maxima is
both answers up to two decimal places are similar.
Given: The function is
This is a quadratic function with . Thus, the maximum or minimum value occurs at
Since, , the function has the maximum value
Therefore, both answers up to two decimal places are similar.
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