a.
To find: The domain and the range of the function
Domain is
Given:
Some harbor police departments have fire-fighting boats with water cannons. The boats are used to fight fires that occur within the harbor
Calculation:
The domain of a function is the set of
Transform the function
So, the vertex is
So, the graph of the function
Since, the graph continues down town the left and down toward the right, the domain contains all real numbers from negative infinity to positive infinity.
Hence, domain of the function
Since the maximum
Hence, range of the function
b.
To find: How far does the water cannon shoot?
The water cannon can shoot up to a distance of
Given:
Some harbor police departments have fire-fighting boats with water cannons. The boats are used to fight fires that occur within the harbor
Calculation:
First transform the function
Now, compare the equation
Because
So, the water cannon can shoot up to a distance of
c.
To find: The maximum height of the water.
The maximum height of the water is
Given:
Some harbor police departments have fire-fighting boats with water cannons. The boats are used to fight fires that occur within the harbor
Calculation:
First transform the function
So, the vertex is
The maximum height of the water is the
Hence, the maximum height of the water is
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education