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Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y = f(x) absolute maximum value 5 absolute minimum value 1 local maximum value(s) 4,3 local minimum value(s) 3

          Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y = f(x)
absolute maximum value 5
absolute minimum value 1
local maximum value(s) 4,3
local minimum value(s) 3

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Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
y = f(x)
absolute maximum value 5
absolute minimum value 1
local maximum value(s) 4,3
local minimum value(s) 3

Added by Michael C.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Matthew Elliott

08/10/2022

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However, I can explain how to find these values if you have a graph. Show more…

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Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) absolute maximum value absolute minimum value local maximum value(s) local minimum value(s)

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00:03 All right, for this problem, we are given a graph and asked to find some things about it, the absolute max and min and then any local maximums and minimums.

00:14 Looks like you had the absolute maximum, correct? so the absolute maximum highest point on the graph, of course, is at a height of five.

00:22 So the absolute maximum.

00:24 And this one is looking for the values.

00:27 So don't put the x value, put the actual maximum value, which is five, which it looked like you had that one correct.

00:34 Checks was a weird, a different looking check, and i assume it's because it's partially correct.

00:39 All right.

00:40 The absolute minimum.

00:41 What's the lowest point we get to? well, this one goes down to a height of two, but this one keeps dropping.

00:46 But notice it goes to an undefined point.

00:49 So as i get closer and closer to x equaling seven, this gets closer and closer to y equaling one, but never actually gets there.

00:57 Okay.

00:58 We are not guaranteed a maximum or a minimum, absolute max or min, unless we are.

01:03 On a closed continuous curve.

01:06 This one is not continuous and actually approaches an endpoint.

01:11 And since that would be where the lowest point is and we can get closer and closer, but never quite get there.

01:16 We have to say that this one does not exist.

01:19 There is not an absolute minimum value on this graph.

01:22 All right...

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