Interpreting a Graph In Exercises 39–42, the graph of the derivative of a function is given. Sketch the graphs of two functions that have the given derivative. (There is more than one correct answer.)
To graph: The two functions of the derivative whose graph is shown by,
Given Information:
The graph of the provided derivative is shown below.
Graph:
From the graph, there is a straight line passes through origin and for positive value of x the corresponding value of derivative function is positive while for negative values of x the corresponding value of derivative function is negative.
So, the derivative function is given as,
Integrate the above derivative function use the basic rule of integration
The value of C is any constant. It can by any numerical value.
Substitute
Substitute
Therefore, the function for that derivative is
Graph the function
Now, choose some values for
So, put
Now, put
Now, put
The required table is shown below,
x |
||
Therefore, the graph of the function
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