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Babynini
 one year ago
Make it continuous!
Babynini
 one year ago
Make it continuous!

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Babynini
 one year ago
Best ResponseYou've already chosen the best response.1@Empty Hey there! are you available? :)

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Heyo, alright so any ideas on how to make this continuous?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Setting two of the equations to equal each other and then subbing a and b in

Empty
 one year ago
Best ResponseYou've already chosen the best response.2Yeah you're on the right track, what we need to do to make the function continuous is have their heights match up at the same value of x. In order to do that, we take the first equation and set it equal to the second equation and plug in x=2 since at that point they need the same height. Similarly you will make the second and third equal and plug in the x value there to make them equal. Then you have two equations and two unknowns to solve for, the values of a and b that make your function continuous!

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Yay!! So part a after plugging 2 in where x is: 4=4a2b+3?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1The first two simplify to: 1=4a2b

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Second two simplify to: 5a=3b+5

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1when you plug in 3, 9 a  3b + 3 = 12 a + b 10a 4b = 9 how did you get 5a=3b+5 for second two ? 4a 2b = 1 is correct :)

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Ah sorry, I accidentally plugged 2 instead of 3 on the last two =.=

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1thought so...since f(x) to be continuous at x =3, f(3) and f(3)+ should be equal.

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Ahh, gotcha. So now I solve them for a and b?

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1I don't know how I am getting these weird numbers :/

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1how did you solve them ? because i get a different answer...

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1multiply equation 1 by 2 8a 4b =2 subtract this from equation 2 10a  4b = 9  8a 4b = 2 ================= 2a + 0 = 7 a =7/2

Babynini
 one year ago
Best ResponseYou've already chosen the best response.1Lol. Thaaank you. Sorry about my brain deadness.

hartnn
 one year ago
Best ResponseYou've already chosen the best response.1no problem, welcome ^_^
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