Concept explainers
To calculate:the values for the sum of the functions
Answer to Problem 17E
The value of the functions and sum of the functions for different values of x are,
The graph of the functions
Explanation of Solution
Given information:
The functions,
Formula used:
The addition of the functions
Graphically the height of addition of two functions is the addition of individual height of the function that is height of first function added to height of second function.
Calculation:
Consider the provided functions,
Recall the addition of the functions
Evaluate the value of
Group the like terms,
Combine the like terms,
Therefore, the value of sum of the function is
Now, evaluate the value of the individual function
For
Next,
Last,
For
Next,
Last,
For
Next,
Last,
For
Next,
Last,
For
Next,
Last,
Thus, the above results are tabulated as,
Plot the graph of the functions
Thus, the results obtained graphically and mathematically are same.
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