Analyzing Functions

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+3
Standards-aligned
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16 questions
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1.
FLASHCARD QUESTION
Front
What does it mean for a function f(x) to be positive?
Back
A function f(x) is positive when its output values are greater than zero, meaning the graph of the function lies above the x-axis.
Tags
CCSS.HSF.LE.B.5
2.
FLASHCARD QUESTION
Front
How do you determine the intervals where f(x) is positive?
Back
To find where f(x) is positive, identify the x-values for which the function's output is greater than zero by analyzing the graph or solving the inequality.
3.
FLASHCARD QUESTION
Front
What is an increasing function?
Back
An increasing function is one where, as the input x increases, the output f(x) also increases.
4.
FLASHCARD QUESTION
Front
How can you identify the intervals where a function is increasing on a graph?
Back
Look for sections of the graph where the slope is positive; these are the intervals where the function is increasing.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be decreasing?
Back
A function is decreasing when, as the input x increases, the output f(x) decreases.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
How do you find the intervals where a function is decreasing?
Back
Identify sections of the graph where the slope is negative; these intervals indicate where the function is decreasing.
7.
FLASHCARD QUESTION
Front
What is the significance of the x-intercepts of a function?
Back
The x-intercepts are the points where the function crosses the x-axis, indicating the values of x for which f(x) = 0.
Tags
CCSS.HSF-IF.C.7C
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