Question

Which graph of a continuous function y=f(x) satisfies these 3 conditions?

1) f ' (x) > 0 for 1< x < 3

2) f ' (x) < 0 for x < 1 and x > 3

3) f ' (x) = 0 at x=1 and x=3

graphs attached inside!!

please explain!! thank you!!

Answer 1

Please explain!! THank you!!! :)

Answer 2

one sec.. lemme try

i'll try to put it in a word doc or something

Answer 3

okay, is this better?

A,B,C,D,E from top to bottom

Answer 4

@agent0smith :)

Answer 5

again if f' >0 function is increasing
f' < 0, function is decreasing
f' =0, function is at a max/min

Answer 6

which graph shows decreasing, then increasing from x=1 to 3, then back to decreasing

Answer 7

graphs C and D ?

Answer 8

its one of those

Answer 9

should it be C because D still increases a bit past 3 ?

Answer 10

oh does it ... ithought it was D
id have to zoom in on it

Answer 11

At a business meeting at Panera Bread, the bill for two caramel lattes and three cappuccinos was $17.45. At another table, the bill for one cappuccino and two caramel lattes was $10.87. How much did each type of beverage cost?

Answer 12

haha not sure :/

Answer 13

Its d btw I believe so

Answer 14

oh wait my bad haha

it doesn't go past 3.. the little hilly thing misled me :p

but how come it's D not C ?

Answer 15

yeah its D , look at x=3 on graph C you will see it is clearly decreasing already at this point (not a max)

Answer 16

ohh okay i see :)

thank you!!!!

Answer 17

^^^ I trust this smart cow

Answer 18

@PR0JECTxIC0N are you trying to plug your question :)

Answer 19

Yes sir Cow

Answer 20

At a business meeting at Panera Bread, the bill for two caramel lattes and three cappuccinos was $17.45. At another table, the bill for one cappuccino and two caramel lattes was $10.87. How much did each type of beverage cost?

Answer 21

haha next time just post the link

Answer 22

okey dokey new to open study dont know how thinks work etc.

Answer 23

haha yeah :P

it'd be easier to post in a new link because otherwise it gets all jumbled up in the other problem

to the left you can type in your problem and press post :) hopefully that helps a bit :)

Answer 24

i did just bumped

Answer 25

2L +3C= 17.45
2L + C = 10.87

solve with elimination
subtract equations

--> 2C = 6.58
--> C = 3.29

plug back in to find L

Answer 26

kk 1 sec

Answer 27

@iheartfood , please close this question

Answer 28

hold on how do u get 2c?

Answer 29

it has been closed :)

Answer 30

thanks ;P sorry I barged in

Answer 31

@dumbcow L=8.725?

Answer 32

lattes $8.72

Answer 33

no sorry i was away for a bit there
its not 8.72

2L + 3.29 = 10.87

Answer 34

its ok and aww darn.

Answer 35

i always overthink

Answer 36

so what you're doing here is isolating the L

so subtract 3.29 from both sides... then divide that by 2 :)

Answer 37

k 1 sec

Answer 38

so divide 2L+0.61=7.58 by 2?