What is a piecewise function?
1.7 Evaluate Piecewise Functions

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Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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 f(3) = 5 indicate about the piecewise function?
Back
It indicates that when the input is 3, the output of the piecewise function is 5, meaning the expression for that interval yields 5.
4.
FLASHCARD QUESTION
Front
What is the significance of 'undefined' in piecewise functions?
Back
'Undefined' indicates that the function does not have a value at that specific input, often due to the input not falling within any defined interval.
5.
FLASHCARD QUESTION
Front
If f(-2) = 4, what can we infer about the piecewise function?
Back
We can infer that the expression for the interval containing -2 evaluates to 4.
6.
FLASHCARD QUESTION
Front
What does g(4) = -5 tell us about the function g?
Back
It tells us that for the input 4, the output of the function g is -5, indicating the specific expression used for that interval.
7.
FLASHCARD QUESTION
Front
How do you determine the output of a piecewise function for g(7)?
Back
To determine g(7), identify the interval that includes 7 and apply the corresponding expression to find the output.
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