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What does the term 'asymptote' refer to in graphing functions?
What does the term 'asymptote' refer to in graphing functions?
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Q1
What does the term 'asymptote' refer to in graphing functions?
A line that a graph approaches but never touches.
A point where the graph intersects the x-axis.
A curve that is symmetrical about the y-axis.
A method for calculating limits.
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An asymptote is a line that a graph approaches but never touches, often indicating the behavior of a function at extreme values.
Questions & Step-by-step Solutions
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Q
Q: What does the term 'asymptote' refer to in graphing functions?
Solution:
An asymptote is a line that a graph approaches but never touches, often indicating the behavior of a function at extreme values.
Steps: 4
Show Steps
Step 1: Understand that an asymptote is a line.
Step 2: Know that the graph of a function gets very close to this line.
Step 3: Realize that the graph never actually touches the asymptote.
Step 4: Recognize that asymptotes help us understand what happens to the function as the values get very large or very small.
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