Key Feat. Sect1-3 & Transformations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the behavior of a graph on the interval (e, ∞)?
Back
The graph is negative and decreasing.
2.
FLASHCARD QUESTION
Front
How do you determine the number of extrema (maxima and minima) in a graph?
Back
Count the number of peaks and valleys in the graph; in this case, there are 3 extrema.
3.
FLASHCARD QUESTION
Front
What is the end behavior of a function as x approaches negative infinity?
Back
As x approaches -∞, y approaches ∞.
4.
FLASHCARD QUESTION
Front
What does it mean for a graph to be positive on a given interval?
Back
The graph is above the x-axis on that interval; for example, it is positive on the domain (-∞, -5).
5.
FLASHCARD QUESTION
Front
What does the transformation f(-x+3)+4 represent?
Back
It represents a reflection over the y-axis, a shift left by 3 units, and a shift up by 4 units.
6.
FLASHCARD QUESTION
Front
What is the significance of the y-axis in graph transformations?
Back
The y-axis is the line of reflection for transformations involving negative inputs.
7.
FLASHCARD QUESTION
Front
How do you identify the maximum and minimum points on a graph?
Back
Maximum points are peaks where the graph changes from increasing to decreasing, and minimum points are valleys where it changes from decreasing to increasing.
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