(a)
To graph: the given quadratic function
(a)
Answer to Problem 21RE
Explanation of Solution
Given:
Calculation:
For the function
To find the y-intercept, evaluate the function at
Now solve
No real x-intercept is found. So, the function
The vertex is at
Since
The graph of
Its axis of symmetry is the line
Conclusion:
Thus, the given equation is drawn.
(b)
the domain and the range of the function.
(b)
Answer to Problem 21RE
The domain is
The range is
Explanation of Solution
Calculation:
Determine the range and domain of the function
The domain of quadratic equation is all real numbers
For the range, find the minimum and maximum value of function. The graph of the function
So, its range is
Conclusion:
The domain is
The range is
(c)
the increasing and decreasing interval.
(c)
Answer to Problem 21RE
Hence, decreasing interval
Explanation of Solution
Calculation:
Determine whether the function
Conclusion:
Hence, decreasing interval
Chapter 3 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
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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