Calculus Graph Sketch

[proud hinge]

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[deep valve]

this a test

[frozen helm]

? its a review

[deep valve]

ah ok

[frozen helm]

are tests not allowed on here?

[deep valve]

yea

in case someone is cheating on a test

anyways, what do the x marks mean

[frozen helm]

oh good to know

[deep valve]

are you only doing these two?

[frozen helm]

yeah

i did the first couple ones

[deep valve]

you need to make a graph that does all of those at the same time

[frozen helm]

oh ok

so is what i sketched alright or?

[deep valve]

i mean, which requirements do you think you have satisfied

[frozen helm]

honestly i have no clue bc im lost in this class and I based this graph off of my trig brain

[deep valve]

oh

do you understand the limit notations

[frozen helm]

not really

[deep valve]

ah okay

well i think a video on it would be nice but ill go over it basically here

i guess thihs https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-2/a/limits-intro

but basically

$\lim_{x\to a}$

[glad hull]

!𒐪 ɹɐupoɯ⇂ㄥ8𝟝 𒐪!

[deep valve]

so lim means limit

which is basically saying the value of the function

and x -> a means as x, the x axis value, approaches some value a

that can be something like 1

or infinity

and then $\lim_{x\to a^+}$

[glad hull]

!𒐪 ɹɐupoɯ⇂ㄥ8𝟝 𒐪!

[deep valve]

means the limit as x approaches a from the positive (right) side of the function

and then derivative i hope you know

[frozen helm]

oh okay

[frozen helm]

yes

[deep valve]

and do you know what a vertical asymptote is

[frozen helm]

yes

[deep valve]

alright

do you know what the association is with stuff like $\lim_{x\to1^+}=\infty$

[glad hull]

!𒐪 ɹɐupoɯ⇂ㄥ8𝟝 𒐪!

[frozen helm]

yes

[deep valve]

nice

okay you should be good ill stop pestering you