Absolute Value Transformations and Piece-Wise Functions

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What is the definition of absolute value?
Back
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.
Tags
CCSS.6.NS.C.7C
2.
FLASHCARD QUESTION
Front
What is the parent function for absolute values?
Back
y = |x|
3.
FLASHCARD QUESTION
Front
How does the graph of y = |x| transform when a constant is added outside the absolute value?
Back
The graph shifts vertically. For example, y = |x| + 2 shifts the graph up by 2 units.
4.
FLASHCARD QUESTION
Front
What effect does multiplying the absolute value function by a constant have on its graph?
Back
Multiplying by a constant greater than 1 makes the graph skinnier, while multiplying by a constant between 0 and 1 makes it wider.
5.
FLASHCARD QUESTION
Front
What is a piecewise function?
Back
A piecewise function is a function that is defined by different expressions for different intervals of the input.
Tags
CCSS.HSF-IF.C.7B
6.
FLASHCARD QUESTION
Front
How do you evaluate a piecewise function?
Back
To evaluate a piecewise function, determine which interval the input value falls into and use the corresponding expression.
Tags
CCSS.HSF.IF.A.2
7.
FLASHCARD QUESTION
Front
What is the absolute value equation for the graph that opens upwards and is shifted up by 2 units?
Back
y = |x| + 2
Tags
CCSS.HSF-IF.C.7D
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