2.1 #10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 17PPS
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2.1 #10
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Consider a smooth curve with no undefined points.
(a) If it has two relative maximum points, must it have a relative minimum point?
(b) If it has two relative extreme points, must it have an inflection point?
(a) If it has two relative maximum points, must it have a relative minimum point?
A relative maximum point is a point at which the graph changes from
to
V and a relative minimum point is a point at which the graph changes from
V. Therefore in order to reach the second relative
maximum point, it
necessary for there to be a relative minimum point.
Transcribed Image Text:Question Help Consider a smooth curve with no undefined points. (a) If it has two relative maximum points, must it have a relative minimum point? (b) If it has two relative extreme points, must it have an inflection point? (a) If it has two relative maximum points, must it have a relative minimum point? A relative maximum point is a point at which the graph changes from to V and a relative minimum point is a point at which the graph changes from V. Therefore in order to reach the second relative maximum point, it necessary for there to be a relative minimum point.
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