Graphing Absolute Value Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of an absolute value function?
Back
2.
FLASHCARD QUESTION
Front
What does the vertex of an absolute value function represent?
Back
The vertex of an absolute value function represents the minimum or maximum point of the graph, depending on the value of 'a'. It is the point where the graph changes direction.
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 steepness of the graph. If 'a' is greater than 1, the graph is steeper; if 'a' is between 0 and 1, the graph is wider. If 'a' is negative, the graph opens downwards.
4.
FLASHCARD QUESTION
Front
Back
Changing 'h' shifts the graph horizontally. If 'h' is positive, the graph shifts to the right; if 'h' is negative, it shifts to the left.
5.
FLASHCARD QUESTION
Front
Back
Changing 'k' shifts the graph vertically. If 'k' is positive, the graph shifts up; if 'k' is negative, it shifts down.
6.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of an absolute value function?
Back
To find the x-intercepts of an absolute value function, set the function equal to zero and solve for x.
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 @@(- ext{∞}, ext{∞})@@.
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