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Concept explainers
a.
To sketch the graph of the function by applying the leading coefficient test.
a.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
Leading coefficient test-
The graph of the polynomial function rises or falls eventually in the following way −
It depends on the value of as
moves to the left or to the rightwithout bound,
1. For positive leading coefficient is positiveand oddthe graph will rise to the right and will fall to the left and otherwise for the negative leading coefficient, the graph will rise to the left and will fall to the right.
2. For positive leading coefficient and eventhe graph will riseto the left and right and for the negative leading coefficient, the graph will fallto the left and right.
As the degree of polynomial is odd and the leading coefficient is positive, so by the leading coefficient test it can be concluded that the graph of the polynomial function will rise to the right andwill fall to the left as shown below-
b.
To sketch the graph of the function by finding the zeroes of the polynomial,
b.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The real zeroes of the polynomial functioncan be determined by putting.
So, there are tworeal zeroes of the polynomial
c.
To sketch the graph of the function by plotting sufficient solution points
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The answers may vary as there are no fixed solution points.
d.
To sketch the graph of the function by drawing a continuous curve through the points.
d.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Given Information:
The given polynomial function is-
Calculation:
The continuous plot of the polynomial function is,
Chapter 2 Solutions
Precalculus with Limits
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