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In the context of the passage, which of the following best describes a 'disconti
In the context of the passage, which of the following best describes a 'discontinuity'?
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Practice Questions
1 question
Q1
In the context of the passage, which of the following best describes a 'discontinuity'?
A point where a function is not defined.
A point where a function has a vertical tangent.
A point where the function's limit does not exist.
A point where the function is continuous.
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A discontinuity occurs at points where the function is not defined, leading to breaks in the graph.
Questions & Step-by-step Solutions
1 item
Q
Q: In the context of the passage, which of the following best describes a 'discontinuity'?
Solution:
A discontinuity occurs at points where the function is not defined, leading to breaks in the graph.
Steps: 5
Show Steps
Step 1: Understand what a function is. A function is a relationship between inputs and outputs.
Step 2: Learn that a graph represents a function visually, showing how inputs relate to outputs.
Step 3: Identify what 'discontinuity' means. It refers to points where the function does not have a value.
Step 4: Recognize that when a function is not defined at certain points, the graph will have breaks or jumps.
Step 5: Conclude that a discontinuity is where the graph of the function is interrupted or not continuous.
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