Question

State the signs of f ' and f " on interval(0,2)?

Answer 1

Ok first of all do you know what it means when they say interval [0,2]?

Answer 2

yea

Answer 3

What are the answer choices, if it's a multiple choice?

Answer 4

it just says to give the sign f ' ? 0 and f " ? 0

Answer 5

greater , less or equal to

Answer 6

I'm assuming F' is < 0 because it's y-value is higher than the origin and same with F"

Answer 7

Sorry, i meant > not <

Answer 8

for which one

Answer 9

both are greater than 0

Answer 10

i tried f ' > 0 and f " < 0 and got both wrong

Answer 11

then i have no idea, sorry

Answer 12

oh ok

Answer 13

f'>0 tells us f is increasing
f'<0 tells us f is decreasing

Answer 14

on your given interval reading the graph from left to right
is the graph falling or rising?

Answer 15

falling would mean f is decreasing
rising would mean f is increasing

Answer 16

so if its falling f'<0 and f">0?

Answer 17

if the function f is concave up f''>0
if the function is concave down f''<0
so what do you think about the f'' part