What is a piecewise function?
Math 4 Unit 2 Piecewise Functions-Flashcard -1A

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•
Mathematics
•
12th 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
What does it mean for a function to be continuous at a point?
Back
A function is continuous at a point if the limit of the function as it approaches that point equals the function's value at that point.
3.
FLASHCARD QUESTION
Front
What is a jump discontinuity?
Back
A jump discontinuity occurs when the left-hand limit and the right-hand limit at a point exist but are not equal.
4.
FLASHCARD QUESTION
Front
What is a removable discontinuity?
Back
A removable discontinuity occurs when a function is not defined at a point, but the limit exists at that point.
5.
FLASHCARD QUESTION
Front
What is an infinite discontinuity?
Back
An infinite discontinuity occurs when the function approaches infinity or negative infinity as it approaches a certain point.
6.
FLASHCARD QUESTION
Front
How do you find the x-intercept of a function?
Back
To find the x-intercept, set the function equal to zero and solve for x.
7.
FLASHCARD QUESTION
Front
What does it mean for a function to be undefined?
Back
A function is undefined at a point if there is no valid output for that input, often due to division by zero or taking the square root of a negative number.
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