Concept explainers
To graph: The polynomial function
Explanation of Solution
Given data: The given polynomial function
Concept used:
Leading coefficient test: If the polynomial function
Zeros of thepolynomial are the points
Graph:
The given polynomial is
(i) Since the function is of even degree and the leading coefficient is positive, therefore, the graph of function rises to the left as well as to the right.
(ii) The function
Now,
Now,
Thus, zeros of the polynomial
The graphintersectsx -axis at points
(iii) Some solutions of the function (computed by taking arbitrary values of t ) are:
x | - 2 | 0 | 1 | 2 | 4 |
-2.5 | 0.9 | 1.6 | 0.9 | 2.5 |
(iv)The continuous curve joining the calculated points (zeros and solutions), the graph of the polynomial function
Interpretation of the Graph:
The function
Chapter 2 Solutions
Precalculus with Limits: A Graphing Approach
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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