Concept explainers
To analyze: the given polynomial function.
Answer to Problem 18RE
Explanation of Solution
Given:
Explanations:
Let us consider the following polynomial function.
analyze the graph of the given function.
For this follow the following steps:
Step
Determination of the end behavior of the graph of the function
The end behavior of the graph of a function is similar to the leading term of the function. So, first of all determine the degree of the function.
So,
Further solving,
Here, the degree of the polynomial is
Step
Graph the function using a graphing utility.
Using graphing utility software, plot the given function.
Step
Next, approximate
From the graph, the graph passes through
Also, the graph intersects
Step
Create a table to find points on the graph around each
Here, for
Step
Approximately the turning points of the graph.
From the graph of
Using MAXIMUM, one turning point is at
Step
Complete the graph using all the above information.
Step
Determine the range and domain of the function.
Domain and range of the function are the set of all real numbers. So,
Step
Determine where the function is increasing and where it is decreasing.
From the graph, the function is increasing in the interval
Conclusion:
Therefore,the given polynomial function is analyzed.
Chapter 4 Solutions
Precalculus
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