AP Precalculus Unit 1 Refresh

Flashcard
•
Mathematics
•
12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
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 the input approaches a. It indicates values that the function cannot take.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
Identify the vertical asymptote of the function f(x) = \frac{1}{x+2}.
Back
The vertical asymptote is x = -2.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is the sign analysis chart used for?
Back
A sign analysis chart is used to determine the intervals where a polynomial function is positive or negative by analyzing the signs of the function's factors.
4.
FLASHCARD QUESTION
Front
Given the polynomial p(x) = -x(x-4)(x+2), find the intervals where p(x) ≥ 0.
Back
The intervals are (-∞, -2] ∪ [0, 4].
5.
FLASHCARD QUESTION
Front
What does the average rate of change represent?
Back
The average rate of change of a function over an interval [a, b] is given by the formula \frac{f(b) - f(a)}{b - a}, representing the slope of the secant line between the points (a, f(a)) and (b, f(b)).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
Where is the average rate of change negative for the function f(x)?
Back
The average rate of change is negative in the interval (0.3, 3).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
What are the vertical asymptotes of the function f(x) = \frac{1}{x^2 - 25}?
Back
The vertical asymptotes are x = 5 and x = -5.
Tags
CCSS.HSF-IF.C.7D
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