What is the first step in identifying a discontinuity in a rational function?
Determining the non removable holes of a rational function

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Mathematics, Science
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11th Grade - University
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculating the derivative
Identifying when the function is not defined
Solving for the y-intercept
Finding the range of the function
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine if a discontinuity is a hole?
By finding the limit of the function
By simplifying the expression and using the division property
By calculating the second derivative
By checking if the function is continuous
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the expression when you divide out the discontinuity?
It becomes undefined
It results in a hole
It changes the domain
It becomes a vertical asymptote
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a removable discontinuity in the context of rational functions?
A point where the function is continuous
A point where the function has a vertical asymptote
A point where the function is undefined but can be simplified
A point where the function has a horizontal asymptote
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might graphing technology not show holes in a function?
Because holes are too small to be visible
Because holes are not part of the domain
Because holes are not considered important
Because graphing technology only shows continuous functions
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