Concept explainers
To identify: On what interval(s) is the function positive? Negative? Increasing? Decreasing?
Positive:
Negative:
Increasing:
Decreasing:
Given information:
A polynomial function:
Concept used:
- A function is positive on the intervals, where its graph is above the x -axis.
- A function is negative on the intervals, where its graph is below the x -axis.
- A function is increasing on the intervals, where its graph has positive slope or graph is going upwards.
- A function is decreasing on the intervals, where its graph has negative slope or graph is going downwards.
Calculation:
Upon graphing the given function, the required graph would look like as shown below:
From the above graph, it is visible that the graph is above the x -axis on the intervals
The function is increasing on intervals
Chapter 2 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