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anonymous
 one year ago
Help with Piecewise?
anonymous
 one year ago
Help with Piecewise?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm struggling with triple piecewise functions. So here is an example of one I need help with:

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\left\{ x^23 \right\} (if x<0)\] \[\frac{ 1 }{ 2 }x3(if0 \le x<4)\] \[(x4)^21 (ifx \ge 4)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have to graph this function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Btw, the "if" int the problems were to show the if x is <,>,<= etc.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, do them separately, step by step, start with \[f(x) = (x^23) \left\{ x<0 \right\}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's where I am a little confused to be honest. Because doesn't that give x a limit into negative infinite?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, you need to "break" the curve and continue the function, the limits isn't a problem here.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The curve of \[x^23\] looks like thisdw:1438195354274:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But for this part we do it for x<0 so it looks like this dw:1438195427221:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I need to break the curve? But what can I do to the function to do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0SOrry my replies are a little sometimes because my computer is lagging

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You gotta imagine that this x^23 function is only valid if x is smaller than 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, got it. so would that mean my y intercept is 3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Now we can move on to the 2nd piece \[\frac{ 1 }{ 2 }x3 \left\{ 0\le x <4 \right\}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes 3 is y intercept

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And also because the condition of the function is x<0, it doesnt include 0 so the ending at the y intercept looks like this:dw:1438195804679:dw Notice its a hollow dot, which means it does not include x=0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so is my y intercept 3 again?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you remember the y=mx+b? b is the intercept, in this case is 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0And now for this one, it goes up to four and stops, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now its \[\frac{ 1 }{ 2 }x3\] this is a straight line and also the function includes 0. The yintercept of this function is also at 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok. So all three pieces combined, does it look like this?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Or am I far off? o.o

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yay! Thank you once again! :D
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