Piecewise Functions
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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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 over different intervals of its domain.
Tags
CCSS.HSF-IF.C.7B
2.
FLASHCARD QUESTION
Front
How do you express the domain of a piecewise function in interval notation?
Back
The domain of a piecewise function can be expressed in interval notation by combining the intervals for which the function is defined, using parentheses for open intervals and brackets for closed intervals.
Tags
CCSS.HSF-IF.C.7B
3.
FLASHCARD QUESTION
Front
What does the notation f(x) mean in a piecewise function?
Back
f(x) represents the output of the function for a given input x, where the specific expression used depends on the interval in which x falls.
4.
FLASHCARD QUESTION
Front
How do you determine the value of f(x) for a piecewise function?
Back
To determine f(x), identify the interval that contains the input x and use the corresponding expression for that interval.
Tags
CCSS.HSF.IF.A.2
5.
FLASHCARD QUESTION
Front
What is the significance of the endpoints in interval notation?
Back
Endpoints indicate whether the interval includes or excludes the boundary values; brackets [ ] include the endpoint, while parentheses ( ) exclude it.
Tags
CCSS.6.EE.B.8
6.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = { x^2 for x < 0; 2x for x >= 0 }?
Back
The domain is (-∞, ∞) because the function is defined for all real numbers.
7.
FLASHCARD QUESTION
Front
How do you find the range of a piecewise function?
Back
To find the range, evaluate the outputs of each piece of the function over its domain and combine the results.
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