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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
Mcdougal Littell Algebra 2: Student Edition (c) 2004 2004
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