Describe the behavior of the following graph, at each of the five points labeled
ID: 2881709 • 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 increasingt the slope of f(x) is decreasingf(x) has a relative minimumf(x) has a relative maximumf(x) has an inflection pointf(x) is concave upwardsf(x) is concave downwards
Point B
f(x) is increasingf(x) is decreasing, the slope of f(x) is increasing, the slope of f(x) is decreasingf(x) has a relative minimumf(x) has a relative maximumf(x) has an inflection pointf(x) is concave upwardsf(x) is concave downwards
Point C
f(x) is increasingf(x) is decreasingthe slope of f(x) is increasingthe slope of f(x) is decreasingf(x) has a relative minimumf(x) has a relative maximumf(x) has an inflection pointf(x) is concave upwardsf(x) is concave downwards
Point D
f(x) is increasingf(x) is decreasingthe slope of f(x) is increasingthe slope of f(x) is decreasingf(x) has a relative minimumf(x) has a relative maximumf(x) has an inflection pointf(x) is concave upwardsf(x) is concave downwards
Point E
f(x) is increasingf(x) is decreasingthe slope of f(x) is increasingthe slope of f(x) is decreasingf(x) has a relative minimumf(x) has a relative maximumf(x) has an inflection pointf(x) is concave upwardsf(x) is concave downwards
2.5 H 1.5 0.5 H -0.5 1.5 2.5 3.5Explanation / Answer
POINT BEHAVIOUR OF f(X) A Decreasing B Has a relatice minimum C Increasing D has an inflection point E Increasing
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