Graphing Absolute Value Functions

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is an absolute value function?
Back
An absolute value function is a function that contains an absolute value expression. It is defined as f(x) = |x|, which outputs the non-negative value of x.
2.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
The general form is f(x) = a|bx + c| + d, where a, b, c, and d are constants that affect the graph's shape and position.
3.
FLASHCARD QUESTION
Front
How does the value of 'a' affect the graph of an absolute value function?
Back
The value of 'a' affects the vertical stretch or compression and the direction of the graph. If 'a' is positive, the graph opens upwards; if negative, it opens downwards.
4.
FLASHCARD QUESTION
Front
What does the 'c' value represent in the function f(x) = a|bx + c| + d?
Back
The 'c' value represents a horizontal shift. If 'c' is positive, the graph shifts to the left; if negative, it shifts to the right.
5.
FLASHCARD QUESTION
Front
What does the 'd' value represent in the function f(x) = a|bx + c| + d?
Back
The 'd' value represents a vertical shift. If 'd' is positive, the graph shifts upwards; if negative, it shifts downwards.
6.
FLASHCARD QUESTION
Front
What is the vertex of an absolute value function?
Back
The vertex is the point where the graph changes direction, typically found at the point (-c/b, d) in the function f(x) = a|bx + c| + d.
7.
FLASHCARD QUESTION
Front
What is the domain of an absolute value function?
Back
The domain of an absolute value function is all real numbers, expressed as (-∞, +∞).
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