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sloppycanada
 one year ago
How do I solve piecewise functions? I cannot tell you how many times I have stared at my notes and done the practice.
https://gyazo.com/8740807019fb8b146a7ec27a3565554e
sloppycanada
 one year ago
How do I solve piecewise functions? I cannot tell you how many times I have stared at my notes and done the practice. https://gyazo.com/8740807019fb8b146a7ec27a3565554e

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myininaya
 one year ago
Best ResponseYou've already chosen the best response.0f(2) can be evaluated by the piece that includes x=2

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0is 2 in the set of numbers that is described by x>=0? by x<3? or by 3<=x<0?

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0Yes? the last one?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0yes the last one 2 is between 3 and 0

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0so you use f(x)=2 since x is between 3 and 0

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0which means f(anything in that interval)=2

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0f(1)=2 f(1/2)=2 f(2.534)=2

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0so that means my answer is 2? So okay, the way I see is if the f(2) or whatever number it is, happens to be in the set of functions, then the answer to f(x) is the opposite?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0I used f(x)=2 since x is between 3 and 0

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0if it said evaluate f(5) I would have used f(x)=x+3 since x is less than 3

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0so it has to fit in the thing? i'm confused now.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0remember the first thing we looked at is what set of x values our x was included in then we used the corresponding piece

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0another example if we wanted to evaluated f(10) 10 is less than 3 and our function says use f(x)=x+3 if x is less than 3 so f(10)=10+3=7=7

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0another example if we wanted to evaluate f(20) well 20 is greater than 0 and our function says to use f(x)=x if x greater than or equal to 0 so f(20)=20

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0f(10) or f(20) or what?

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0which means f(anything in that interval)=2

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0Like I said, I really don't get these piecewise functions..

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0before I said that I said this "so you use f(x)=2 since x is between 3 and 0" the interval being [3,0) actually since it says to include 3 f(anything in that interval)=2 means any x value in [3,0) will give us the output 2 when put into our function examples f(3)=2 f(2.9999)=2 f(2.5)=2 f(2)=2 f(1.99)=2 f(1.5)=2 f(1/2)=2 f(1/5)=2

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0but how did you get 2 from 2?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0Your function says to use f(x)=2 if 3<=x<0

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0and 2 certainly falls in that interval

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0f(2)=2 since 3<=2<0

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0Okay, so that little comma thing is like "if this answer is right, use "2" for x "

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0no x is 2 in your problem f(x) or y is 2 for your problem

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0if it did say evaluate f(2) then you would look at the inequalities (or intervals whatever you want to call them) and see which one it satisfies 2>=0 so we use f(x)=x since x>=0 for this example so f(2)=2

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0does this still make no sense?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0your function says: if x>=0 then use f(x)=x if x<3 then use f(x)=x+3 if 3<=x<0 then use f(x)=2

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0find which if part is true for your x then use function that corresponds to that inequality

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0to find the output for the function

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0then what do I do with all these commas?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0You don't need to do anything with them

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0if you want you can replace them with the word if if you prefer that

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0but you already found f(2)

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0okay, then what do I do with it?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0what does it refer to?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0I'm absolutely lost on what we are talking about now

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0is there another question or something?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0The only question I see is find f(2) and we done that I don't see a third or even a second question on the picture you posted

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0but what did we find? I'm confused on what we actually found.

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0and what is f(2)? 2?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0remember if we have 3<=x<0 then we use f(x)=2 and we had x=2 was included in 3<=x<0 so we used f(x)=2 to find f(2)

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0insert any number from the inequality 3<=x<0 into f(x) and you get the output 2 insert any number from the inequality x>=0 into f(x) you get the output x insert any number from the inequality x<3 into f(x) you get the output x+3

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0so my answer to this problem is 2, which I think is C?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0So I guess you are asking me this question for the 4th time because you still don't understand why f(2)=2?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0Ok do you understand the below? \[f(x)=x \text{ if } x \ge 0 \\ f(x)=x+3 \text{ if } x<3 \\ f(x)=2 \text{ if } 3 \le x <0 \]

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0we plugged in 2 we are looking for f(2) we replaced x with 2 replace all the x's with 2 \[f(2)=2 \text{ if } 2 \ge 0 \\ f(2)=2+3 \text{ if } 2<3 \\ f(2)=2 \text{ if } 3 \le x <0\] the only line that is true here is the last line do you see why?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0*\[f(2)=2 \text{ if } 2 \ge 0 \\ f(2)=2+3 \text{ if } 2<3 \\ f(2)=2 \text{ if } 3 \le 2 <0\]*

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0the only line that is true here is the last line do you see why?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0the last line is the only line that is true since: \[f(2)=2 \text{ if } 2 \cancel{\ge} 0 \\ f(2)=2+3 \text{ if } 2\cancel{<}3 \\ f(2)=2 \text{ if } 3 \le 2 <0\]

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0yes, i get why we have 2. kinda. but i'm not sure what to do with it. Is it the answer to the problem?

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0the last line says f(2)=2 ...

sloppycanada
 one year ago
Best ResponseYou've already chosen the best response.0which makes 2 our answer. so the answer to the original problem is 2.

myininaya
 one year ago
Best ResponseYou've already chosen the best response.0did you want to try more examples? if so see if you can find f(100)
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