Concept explainers
(a)
The graph of the function
(a)
Answer to Problem 51E
The value gets extended on both positive and negative axis.
Explanation of Solution
Given information:
The given the polynomial function as shown below,
Formula used:
The horizontal axis is x axis and the vertical axis is y axis.
Calculation:
Let us first draw the graph of the polynomial function,
Conclusion:
The value gets extended on both positive and negative axis.
(b)
The x-intercepts of the graph.
(b)
Answer to Problem 51E
The x -intercepts of the graph are at (0,0),
Explanation of Solution
Given information:
The given the polynomial function as shown below,
Formula used:
The horizontal axis is x axis and the vertical axis is y axis.
Calculation:
By observing the graph of the polynomial function, we can see that the x -intercepts of the graph are at (0,0),
Conclusion:
The x -intercepts of the graph are at (0,0),
(c)
The real zeroes for the polynomial function.
(c)
Answer to Problem 51E
The real zeroes for the polynomial function are at
Explanation of Solution
Given information:
The given the polynomial function as shown below,
Formula used:
The polynomial equation is equated to zero.
Calculation:
Now set
So, the real zeroes for the polynomial function are at
Conclusion:
The real zeroes for the polynomial function are at
(d)
The comparisonof zeros of the polynomial.
(d)
Answer to Problem 51E
The x-intercepts occur at the same points where the real zeroes occur.
Explanation of Solution
Given information:
The given the polynomial function as shown below,
Formula used:
The polynomial is equated to zero.
Calculation:
By comparing the results of part (c) with any x-intercepts, we can see that the x-intercepts occur at the same points where the real zeroes occur.
Conclusion:
The x-intercepts occur at the same points where the real zeroes occur.
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