What is the vertex of the absolute value function?
Absolute Value Functions

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The vertex of the absolute value function is the point where the graph changes direction. For the function f(x) = |x| + 4, the vertex is at (0, 4).
2.
FLASHCARD QUESTION
Front
What is the domain of the absolute value function?
Back
The domain of the absolute value function is all real numbers, represented as (-∞, ∞).
3.
FLASHCARD QUESTION
Front
What is the equation of the absolute value function that has a vertex at (0, 4)?
Back
The equation is f(x) = |x| + 4.
4.
FLASHCARD QUESTION
Front
What is the maximum value of the function f(t) = -2|t - 15| + 50?
Back
The maximum sales for one week is $50,000.
5.
FLASHCARD QUESTION
Front
What is the range of the absolute value function?
Back
The range of the absolute value function is all real numbers greater than or equal to the vertex's y-coordinate. For f(x) = |x| + 4, the range is [4, ∞).
6.
FLASHCARD QUESTION
Front
How does the graph of f(x) = |x| + 4 differ from f(x) = |x|?
Back
The graph of f(x) = |x| + 4 is shifted upward by 4 units compared to f(x) = |x|.
7.
FLASHCARD QUESTION
Front
What effect does a negative coefficient have in front of an absolute value function?
Back
A negative coefficient reflects the graph across the x-axis. For example, f(x) = -|x| opens downward.
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