how do you solve this

[tropic helm]

im lost

[turbid verge]

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[autumn lance]

What is the definition of a local maximum?

[merry cipher]

do you know what a local max/min is?

do you know what a turning point is?

heard those terms before?

[tropic helm]

yes but i dont know what they entail

well actually i have an idea

the local max is sort of the top of the curve

and the min is where it dips

[tropic helm]

the top of those dips, right?

[autumn lance]

I mean, that's what it amounts to, but that's not quite a formal definition.

[tropic helm]

ye idk that

but i could probably identify one

[autumn lance]

You said the local maximum was (6, 0).

[tropic helm]

0,6

[autumn lance]

No, you said (6, 0).

[tropic helm]

no im saying thats the answer, i messed it up on accident

[autumn lance]

That's also not the answer.

Look at the scale of the axes.

[tropic helm]

what does that mean?

[autumn lance]

It means, how many units are there between grid lines?

I'm actually not sure how you got 6 at all.

[tropic helm]

5

[tropic helm]

the coordinate

[autumn lance]

Show your work.

[tropic helm]

you count the grid lines

idk how to show that

[autumn lance]

...you count the grid lines to find out how many units are in between grid lines?

[tropic helm]

ig

bro im overtired idek im trying to manifest whatever i got left

[autumn lance]

Okay, look. Notice the tick on the y-axis that says "3"? That means the y-axis scale is 3. Every move up one grid line in the y-dimension is a move of three units.

[tropic helm]

the 5 is the number of grid spaces on each axis.

[autumn lance]

The maximum is on the fourth grid line above the x-axis.

Which is where my confusion over the six comes from.

[tropic helm]

I see

[tropic helm]

the lines went through the coordinate (0, 6)

counting from 3 up the y axis

thats where my conceptual misunderstanding came from

[autumn lance]

What lines?

[autumn lance]

Oh, I see. You thought the 3 was 3 and every other one was 1?

[tropic helm]

in the center here the tip of the curve intersects via (0, 6)

[tropic helm]

ig

im cooked on the quiz tomorrow so id rather understand now

[autumn lance]

Okay, if you don't even know what you were thinking when you got it wrong, how am I supposed to correct you in a way you can understand?

[autumn lance]

What time is it for you?

[tropic helm]

11:51 pm

[autumn lance]

Go to bed.

[tropic helm]

nah nah its the last problem

i need to get this understood

[tropic helm]

its the 4th graph line

[autumn lance]

And if each graph line adds 3 units...?

[tropic helm]

but what does that indicate about the local maximum?

[tropic helm]

12

3 units per graph line

[autumn lance]

So then it's (0, 12).

[tropic helm]

on local minimum

thats the bottom

[autumn lance]

Right, but look closely. The scale on the y-axis is 3:1, the scale on the x-axis is 2:1.

[tropic helm]

ill just wing it man, thanks anyways

thanks @autumn lance

[surreal notch]

@tropic helm has given 1 rep to @autumn lance

[tropic helm]

+close