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Sorry but I'm just having a difficult time with this assignment. It is over 40 questions and I want to understand it. Help! Thanks

Jan 16, 2019

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Extrema.....=  high or low points on graph

They may be absolute or local

The absoute max or min is higher or lower than any other point on the graph

The  local min is lower than the surrounding points....but not the lowest point on the graph

The local max is higher than the surrounding points....but not the highest point on the graph

First one.....we only have a low point

As this graph shows : https://www.desmos.com/calculator/iplw9vvorn

.....the low point is    (-1, - 7)

This is known as a global minimum.....the absolute lowest point on the graph

We have no max because the graph just keeps increasing forever

Second one....we only have one "local"  max  and one "local" minimum

Look at the graph here : https://www.desmos.com/calculator/opsial98n0

The local max is at (-3, 5)

The local min is at (-1, 1)

There is no absolute min or max because the graph falls to - inf  and rises to inf

Jan 16, 2019
edited by CPhill  Jan 16, 2019
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So sorry for the late reply! Thank you again for the help!

Guest Jan 16, 2019