I can't get started, need a hint

[pliant furnace]

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

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[gentle cloak]

This is all I’ve done. I don’t know how this shows anything

And idk where t comes in

[serene scroll]

t doesn't matter rn

[serene scroll]

can you do this with 3 points?

try induction

[serene scroll]

also notice how f(x1+x2/2) >= f(x1)+f(x2)/2

[gentle cloak]

induction?

[serene scroll]

yes induction

[gentle cloak]

for a continuous set of points?

[serene scroll]

nah

$f\qty(\sum_i \lambda_ix_i) \geq \sum_i \lambda_i f\qty(x_i)$

[hazy jewel]

Pterodactyl

[serene scroll]

where the lambdas sum to 1

use induction on the number of points

[gentle cloak]

how would u justify that x1 < (x1 + x2/2) < x2

i kinda see what u mean

the curve is always higher than the chord

[gentle cloak]

i came back to this question after a while. ive managed to do every part except from (i)