AP Precalculus Unit 1 Refresh

AP Precalculus Unit 1 Refresh

Assessment

Flashcard

Mathematics

12th Grade

Hard

CCSS
HSF-IF.C.7D, 8.F.B.4, HSF-IF.C.7C

+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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