Discontinuous or Continuous

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a continuous function?
Back
A continuous function is a type of function where small changes in the input result in small changes in the output. It can be graphed without lifting the pencil from the paper.
2.
FLASHCARD QUESTION
Front
What is a discontinuous function?
Back
A discontinuous function is a function that has one or more points at which it is not continuous. This means there are jumps, breaks, or holes in the graph.
3.
FLASHCARD QUESTION
Front
Give an example of a continuous function.
Back
An example of a continuous function is f(x) = x^2, which is a parabola that can be drawn without lifting the pencil.
4.
FLASHCARD QUESTION
Front
Give an example of a discontinuous function.
Back
An example of a discontinuous function is f(x) = 1/x, which is not defined at x = 0, creating a break in the graph.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be defined at a point?
Back
A function is defined at a point if there is a corresponding output value for that input value.
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.A.1
6.
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 certain point are not equal, causing a 'jump' in the graph.
Tags
CCSS.HSF-IF.C.7B
7.
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 input value.
Tags
CCSS.HSF-IF.C.7D
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