Question

How do you know what is a minimum and maximum and if it's relative?

Answer 1

Maximum is the highest point and lowest is the smallest point, it is relative if they are on the same line

Answer 2

@Thetoetoejam so i got the wrong answers for d and e. Do you know how to fins the increasing ad decreasing in interval notation? :D

Answer 3

I dont understant, you made some grammar mistakes

Answer 4

@Thetoetoejam I was saying if I confused part d and e for f and g, the parts that I asked about in the screenshot.

Answer 5

Then I asked if you knew how to find what d and e was.. the increase and decrease in interval notation. :(

Answer 6

how did you get `6pi/7,3` for part d?

Answer 7

@jim_thompson5910 i plugged in 5 points

Answer 8

Have you considered looking up the formal definition of "minimum" as it pertains to calculus?

Supposing you had a graph of a function in front of you, and saw that the graph had one lowest point. That point would be your "absolute minimum."

Supposing you had another graph, this time of a function that has several low points. One of these might not be the "absolute minimum" as defined above, but is the minimum on a specific interval.

Answer 9

@mathmale yeah, It was all coming back to me

Answer 10

I wouldnt know what to do in that situation

Answer 11

Look at the graph you've posted. It has two separate "low points."
The first one is at (-2.5, -6). We could state that this is a "relative minimum" on that interval.

Answer 12

Find a specific problem. We'll find the abs. and rel. minima (if any).

Answer 13

There is a specific procedure for finding extreme values (max, min), involving finding the first and second derivatives of the given function. Best that you read up on this topic and work through some examples. Learn the difference between "absolute extrema" and "relative extrema" and how to find each. Review "critical value" and the procedure for finding such values.

Answer 14

@mathmale okie dokie, thank you!!