Describe the behavior of the following graph, at each of the five points labeled
ID: 2836298 • Letter: D
Question
Describe the behavior of the following graph, at each of the five points labeled on the curve, by selecting all of the terms that apply from the lists below.
(So that you don't have to scroll back and forth, the graph is redrawn half way down the question and at the end of the question.)
Point A
f(x) is increasing
f(x) is decreasing
the slope of f(x) is increasing
the slope of f(x) is decreasing
f(x) has a relative minimum
f(x) has a relative maximum
f(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Point B
f(x) is increasing
f(x) is decreasing
the slope of f(x) is increasing
the slope of f(x) is decreasing
f(x) has a relative minimum
f(x) has a relative maximum
f(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Point C
f(x) is increasing
f(x) is decreasing
the slope of f(x) is increasing
the slope of f(x) is decreasing
f(x) has a relative minimum
f(x) has a relative maximum
f(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Point D
f(x) is increasing
f(x) is decreasing
the slope of f(x) is increasing
the slope of f(x) is decreasing
f(x) has a relative minimum
f(x) has a relative maximum
f(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Point E
f(x) is increasing
f(x) is decreasing
the slope of f(x) is increasing
the slope of f(x) is decreasing
f(x) has a relative minimum
f(x) has a relative maximum
f(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Explanation / Answer
A)
decreasing
slope increasing
concave upwards
B)
relative minimum
slope increasing
concave upwards
C)
f(x) increasing
inflection point
D)
relative maximum
inflection point
E)
f(x) increasing
slope increasing
concave upwards
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