Precalculus Final Exam - Fall 2024
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a removable discontinuity in a function?
Back
A removable discontinuity occurs at a point where a function is not defined due to a factor in the numerator and denominator that can be canceled out, resulting in a hole in the graph.
Tags
CCSS.HSF-IF.C.7B
2.
FLASHCARD QUESTION
Front
How do you find holes in a rational function?
Back
To find holes, factor both the numerator and denominator, identify common factors, and set them equal to zero. The x-values where these factors equal zero are the locations of the holes.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes in a rational function?
Back
To find vertical asymptotes, set the denominator equal to zero and solve for x, ensuring that the factor is not removable.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line y = b that the graph of a function approaches as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
Compare the degrees of the numerator and denominator: If the degree of the numerator is less, y = 0; if equal, y = leading coefficient of numerator/leading coefficient of denominator; if greater, no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in determining horizontal asymptotes?
Back
The leading coefficient of the highest degree term in the numerator and denominator determines the value of the horizontal asymptote when the degrees are equal.
Tags
CCSS.HSF-IF.C.7D
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