please help

[narrow plinth]

please help this

[native cradle]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with: ```diff
   +close

[wooden osprey]

here's a graph of f(x)

you can think of g as a moving vertical strip of width 1 that returns the max value in that strip

if the left edge is between -1 and 0, the max value is always at x = 0, in other words, 2

[narrow plinth]

yess

[wooden osprey]

as the left edge moves from 0 to 0.5, the max value then goes straight down to 1.5

then after that it starts increasing again, to infinity

[narrow plinth]

yes yes then?

[wooden osprey]

why did I do this out of order

as left edge goes from -infinity to -1.5, the max smoothly goes from infinity down to 1.5

then from -1.5 to -1, it goes up to 2

this is continuous clearly

so nondifferentiability is just when slope changes

[narrow plinth]

yes

[wooden osprey]

also you have to be a bit careful because the strip is defined in a weird way
g(x)'s left edge is x + 1

[wooden osprey]

does that help?

[narrow plinth]

what's the final answer

?

[wooden osprey]

well
I don't wanna just give the answer

[narrow plinth]

please do

im in a diff situation rn

please just oncee

[wooden osprey]

ree

[narrow plinth]

ree?

bro

please

tell the answer

[wooden osprey]

I'll just graph it for you

blue function is f(x)
red function is g(x)

[narrow plinth]

thanks

+close