Piecewise Functions

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a piecewise function?
Back
A piecewise function is a function that is defined by different expressions or formulas for different intervals of its domain.
2.
FLASHCARD QUESTION
Front
How do you evaluate a piecewise function at a specific point?
Back
To evaluate a piecewise function at a specific point, determine which interval the point falls into and use the corresponding expression to find the function's value.
3.
FLASHCARD QUESTION
Front
What does it mean if a piecewise function is undefined at a certain point?
Back
If a piecewise function is undefined at a certain point, it means there is no output value for that input, often due to the input not falling within any defined interval.
4.
FLASHCARD QUESTION
Front
Evaluate f(0) for the piecewise function: f(x) = { 4 if x < 1; undefined if x = 1; 2 if x > 1 }
Back
f(0) = 4.
5.
FLASHCARD QUESTION
Front
Evaluate f(2) for the piecewise function: f(x) = { 1 if x < 3; 3 if x = 3; 4 if x > 3 }
Back
f(2) = 1.
6.
FLASHCARD QUESTION
Front
Using the graph of a piecewise function, how do you find f(-3)?
Back
Locate -3 on the x-axis, find the corresponding y-value from the graph.
7.
FLASHCARD QUESTION
Front
Evaluate f(1) for the piecewise function: f(x) = { undefined if x < 1; 1 if x = 1; 2 if x > 1 }
Back
f(1) = 1.
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