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.