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In the context of functions, what does the term 'asymptote' refer to?
In the context of functions, what does the term 'asymptote' refer to?
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Q1
In the context of functions, what does the term 'asymptote' refer to?
A line that the graph approaches but never touches.
A point where the graph intersects the x-axis.
A maximum or minimum point on the graph.
A point of discontinuity in the graph.
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An asymptote is a line that a graph approaches as it heads towards infinity but does not intersect.
Questions & Step-by-step Solutions
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Q
Q: In the context of functions, what does the term 'asymptote' refer to?
Solution:
An asymptote is a line that a graph approaches as it heads towards infinity but does not intersect.
Steps: 5
Show Steps
Step 1: Understand that a graph represents a function, which is a relationship between two variables, usually x and y.
Step 2: Recognize that as the values of x (or y) get very large or very small (approaching infinity), the graph may get closer to a certain line.
Step 3: Identify that this line is called an 'asymptote'.
Step 4: Note that the graph gets very close to the asymptote but never actually touches or crosses it.
Step 5: Remember that there can be different types of asymptotes: vertical, horizontal, and oblique.
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