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anonymous
 one year ago
describe how to graph a piecewisedefined function.
anonymous
 one year ago
describe how to graph a piecewisedefined function.

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e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Well.... do you know how to graph a function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0explain using graphs and words

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Well, if you know how to do a graph, a piecewise one is just graphing the pieces.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Hmmm... well, do yo know how say \(x^2\) is a parabola on a graph?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440462346722:dw

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0well a parking station is an example of a piece wise graph or the cost of posting items there are limits for different conditions... e.g Parking fees free 0 < time <= 1 hour $1 1 < time < = 2 hours $3 2 < time < 4 hours $10 time > 4 hours dw:1440462065082:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is understandable

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Sortof... And how y=x is just a line at a 45 degree angle that passes through 0. A piecewise is defined by some rules, so if I say: \(x^2 \text{ for } x \le 0\) \(x \text{ for } x > 0\) Then it is just both the parabola and the line and where they meet: dw:1440462351205:dw

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.0so in extending this idea you can have dw:1440462312993:dw

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Here is better view of my graph: https://www.desmos.com/calculator/qduk9fxrbk

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1x^3! That is way up there. LOL.... but as campbell_st is pointing out, it also means they do not need to touch. https://www.desmos.com/calculator/6hl6ntxydl That is a graph of his last one.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1If you look at that graph, you will see the x^3 part does not start until y=64! So between y= a little less than 16 to y=63.999999999999 etc. there is just no y values at all.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440463601392:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so are those related to the car parking example

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0are those related to the car parking example

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440463703158:dw

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1No, he did a different example to show some options. That is why I did the graph of that one on desmos as the last graph I did.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what are the intervals of the park station example

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440464506395:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what are the intervals of the graph

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1That part: Parking fees free 0 < time <= 1 hour $1 1 < time < = 2 hours $3 2 < time < 4 hours $10 time > 4 hours

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1I am saying that those are the intervals he graphed.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440465233293:dw what is that arrow?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440465386630:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i want the intervals to be written like that

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1$10 time > 4 hours The > means, "From this point and one second more on to it stays there forever, it is $10." So on the graph you use an arrow.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1that is the other one I graphed.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do we identify the intervals

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what is the domain for the example

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440465552670:dw

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1The domain is the valid set of input variables. So, what is the minimum ammount of time you can park a car?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Nope. It has 0 there... so if a person pulls in, urns arounf, and leaves they have parked for 0 time.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the domain is x=0

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Starts at 0. It ends at the maximum time you can park.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1fyi: It is normally done with a brace: \(f(x)\begin{cases} 2x+3 & \text{, } x<0 \\ x^2 & \text{, } x\le x < 4 \\ x^3 & \text{, } x\ge 4 \end{cases} \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you write the steps of graphing the piece wise function?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1So the domain is from 0 to infinity.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the domain is the braces one?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1The steps are the same as any graph, but there are restrictions on how long you need to draw each part. The domain can be written several ways. You might use the union/intersection signs (cup and cap), or you might use interval notation or you might write it out long hand... depends on what the instructor wants.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the question is "In your own words, describe how to graph a piecewisedefined function."

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Like I said, you graph each part, but you need to keep track of where you start and stop.

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1http://www.coolmath.com/algebra/21advancedgraphing/03piecewisefunctions01

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but, the braces one is the domain right?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1Yes. So \([0, \infty)\) for domain. The range would be set in that example. There are only 4 y values.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is the range right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you do the other problem for me?

e.mccormick
 one year ago
Best ResponseYou've already chosen the best response.1That is the correct range.
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