Describe the behavior of the following graph, at each of the five points labeled
ID: 2881786 • 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 increasingf(
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
(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Point B
Point C
f(x) is increasingf(
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
(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
****please choose all that applyfor each
Point D
f(x) is increasingf(
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
(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
Point E
f(x) is increasingf(
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
(x) has an inflection point
f(x) is concave upwards
f(x) is concave downwards
ds
2.5 H 1.5 0.5 H -0.5 1.5 2.5 3.5Explanation / Answer
At point A ------
f(x) is decreasing
the slope of f(x) is increasing
At point B ------
the slope of f(x) = 0
f(x) has a minimum
f(x) is concave upwards
At point C ------
f(x) is increasing
the slope of f(x) is decreasing
f(x) has an inflection point
At point D ------
the slope of f(x) is 0
At point E ------
f(x) is increasing
the slope of f(x) is increasing
f(x) has a relative maximum
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