Absolute Value Functions
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of an absolute value function?
Back
An absolute value function is a function that contains an algebraic expression within absolute value symbols, which measures the distance of a number from zero on the number line, always resulting in a non-negative value.
2.
FLASHCARD QUESTION
Front
What is the parent function of absolute value?
Back
The parent function of absolute value is f(x) = |x|.
3.
FLASHCARD QUESTION
Front
How does the graph of f(x) = |x| look like?
Back
The graph of f(x) = |x| is a V-shaped graph that opens upwards, with its vertex at the origin (0,0).
4.
FLASHCARD QUESTION
Front
What effect does a negative sign in front of an absolute value function have?
Back
A negative sign in front of an absolute value function reflects the graph across the x-axis.
5.
FLASHCARD QUESTION
Front
What does the expression f(x) = -|x - 2| + 3 represent?
Back
This expression represents an absolute value function that is reflected across the x-axis, shifted right 2 units, and shifted up 3 units.
6.
FLASHCARD QUESTION
Front
What is the transformation of the graph f(x) = |x| + 4?
Back
The graph of f(x) = |x| + 4 is the graph of the parent function shifted up 4 units.
7.
FLASHCARD QUESTION
Front
What does the term 'compression' mean in the context of absolute value functions?
Back
Compression refers to the vertical shrinking of the graph, making it narrower. For example, f(x) = a|x| where |a| > 1 compresses the graph.
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