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AP Precalculus UPDATED ACTUAL Questions and CORRECT Answers

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  • AP Precalculus

AP Precalculus UPDATED ACTUAL Questions and CORRECT Answers Increasing Function - CORRECT ANSWER- A function is increasing over its interval of its domain if, as the input values increase, the output values always increase. That is for all a and b in the interval, if a < b then f(a) < ...

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  • October 31, 2024
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  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • AP Precalculus
  • AP Precalculus
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AP Precalculus UPDATED ACTUAL
Questions and CORRECT Answers
Increasing Function - CORRECT ANSWER✔✔- A function is increasing over its interval of
its domain if, as the input values increase, the output values always increase. That is for all a
and b in the interval, if a < b then f(a) < f(b)


Decreasing Function - CORRECT ANSWER✔✔- A function is decreasing over its interval of
its domain if, as the input values increase, the output values always decrease. That is for all a
and b in the interval, if a < b then f(a) > f(b)


Relative minimum - CORRECT ANSWER✔✔- Where a polynomial function switches
between decreasing and increasing or at the included endpoint of a polynomial with a
restricted domain


Relative maximum - CORRECT ANSWER✔✔- Where a polynomial function switches
between increasing and decreasing or at the included endpoint of a polynomial with a
restricted domain


Absolute extrema - CORRECT ANSWER✔✔- Of all local maxima, the greatest is called the
global, or absolute, maximum. Likewise, the least of all local minima is called the global, or
absolute, minimum.


Concave up - CORRECT ANSWER✔✔- When the average rate of change over equal length
input-value intervals is increasing for all small-length intervals, the graph of the function is
concave up


Concave down - CORRECT ANSWER✔✔- When the average rate of change over equal
length input-value intervals is decreasing for all small-length intervals, the graph of the
function is concave down


Point of Inflection - CORRECT ANSWER✔✔- Points of inflection of a polynomial function
occur at input values where the rate of change of the function changes from increasing to
decreasing or from decreasing to increasing. This occurs where the graph of a polynomial
function changes from concave up to concave down or from concave down to concave up.

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