Graphing Piecewise Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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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 for different intervals of its domain.
Tags
CCSS.HSF-IF.C.7B
2.
FLASHCARD QUESTION
Front
How do you graph a piecewise function?
Back
To graph a piecewise function, identify the intervals for each piece, graph each piece according to its formula, and ensure to use open or closed dots based on whether the endpoints are included.
Tags
CCSS.HSF-IF.C.7B
3.
FLASHCARD QUESTION
Front
What does the notation f(x) = { x if x < 4; -x+1 if x ≥ 4 mean?
Back
This notation means that for values of x less than 4, the function f(x) equals x, and for values of x greater than or equal to 4, f(x) equals -x + 1.
4.
FLASHCARD QUESTION
Front
What is the importance of endpoints in piecewise functions?
Back
Endpoints determine whether the function includes or excludes certain values, affecting the graph's continuity and the function's behavior at those points.
Tags
CCSS.HSF-IF.C.7B
5.
FLASHCARD QUESTION
Front
How do you determine the value of a piecewise function at a specific point?
Back
To determine the value, identify which interval the point falls into and use the corresponding expression to calculate the function's value.
Tags
CCSS.HSF.IF.A.2
6.
FLASHCARD QUESTION
Front
What is the difference between open and closed intervals in piecewise functions?
Back
Open intervals do not include the endpoint values (denoted with parentheses), while closed intervals do include the endpoint values (denoted with brackets).
Tags
CCSS.HSF-IF.C.7B
7.
FLASHCARD QUESTION
Front
What is the graphical representation of f(x) = { -x+1 if x < 4; x if x ≥ 4?
Back
The graph consists of a line with a negative slope for x < 4 and a line with a positive slope starting from the point (4, 4) for x ≥ 4.
Tags
CCSS.HSF-IF.C.7B
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