AP Precalculus Unit 1 Refresh

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Mathematics
•
12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a vertical line that the graph of a function approaches as the function's value approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes for rational functions?
Back
For rational functions, horizontal asymptotes can be found by comparing the degrees of the numerator and denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y=0. If they are equal, the asymptote is y=\frac{a}{b}, where a and b are the leading coefficients.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What is an inflection point?
Back
An inflection point is a point on the graph of a function where the concavity changes, indicating a transition from concave up to concave down or vice versa.
5.
FLASHCARD QUESTION
Front
What does it mean for a function to be increasing?
Back
A function is increasing on an interval if, for any two points in that interval, the function's value at the second point is greater than at the first point.
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be positive?
Back
A function is positive on an interval if its values are greater than zero for all points in that interval.
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
How do you determine the intervals where a function is increasing or decreasing?
Back
To determine intervals of increase or decrease, find the derivative of the function. The function is increasing where the derivative is positive and decreasing where the derivative is negative.
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