Analyzing Polynomial Graphs
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the zeros of a polynomial?
Back
The zeros of a polynomial are the values of x for which the polynomial equals zero. For example, if a polynomial has zeros at x = -1.5 and x = 1.5, these are the points where the graph intersects the x-axis.
Tags
CCSS.HSF-IF.C.7C
2.
FLASHCARD QUESTION
Front
How do you determine where a polynomial graph is increasing or decreasing?
Back
To determine where a polynomial graph is increasing or decreasing, analyze the x-values. A graph is increasing where the slope is positive and decreasing where the slope is negative.
3.
FLASHCARD QUESTION
Front
What does it mean if a section of the graph is decreasing?
Back
If a section of the graph is decreasing, it means that as the x-values increase, the y-values decrease. This indicates a negative slope in that interval.
4.
FLASHCARD QUESTION
Front
What is a Local Minimum on a polynomial graph?
Back
A Local Minimum is a point on the graph where the function value is lower than the values of the function at nearby points. It represents a local low point.
5.
FLASHCARD QUESTION
Front
What is a Local Maximum on a polynomial graph?
Back
A Local Maximum is a point on the graph where the function value is higher than the values of the function at nearby points. It represents a local high point.
6.
FLASHCARD QUESTION
Front
What is an Absolute Maximum?
Back
An Absolute Maximum is the highest point over the entire domain of the function. It is the largest value that the function reaches.
7.
FLASHCARD QUESTION
Front
What is an Absolute Minimum?
Back
An Absolute Minimum is the lowest point over the entire domain of the function. It is the smallest value that the function reaches.
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