a.
Find the three real zeros of the polynomial function
a.
Answer to Problem 120E
Explanation of Solution
Calculation:
Consider the folwing table
From the above table, note that the polynomial function
Hence, the real zeros of polynomial function
b.
Explain the behaviour of the graph of
b.
Answer to Problem 120E
Explanation of Solution
Calculation:
The graph of the polynomial is negative in the intervals
c.
Find the least possible degree of
c.
Answer to Problem 120E
Explanation of Solution
Calculation:
Since, there are four zeros for polynomial function
Hence, the least possible degree for polynomial function
d.
Verify that the leading coefficient of
d.
Answer to Problem 120E
The leading coefficient is positive since the degree is even and the graph eventually rises to the left and right
Explanation of Solution
Calculation:
The graph is positive in the intervals
According to leading coefficient test, when the degree is even and if the graph rises to the left and right then the leading coefficient is positive
Hence, the leading coefficient is positive since the degree is even and the graph eventually rises to the left and right.
e.
Sketch a graph of a function according to the table.
e.
Answer to Problem 120E
Explanation of Solution
Calculation:
Use the
The display is as shown below
Step2: Click on WINDOW button and set the range of the axis
The display is as shown below
Step3: Click on GRAPH button to plot the graph of the above function
The display is as shown below
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning