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 one year ago
Graph piecewise function:
p(x)={1/2x+1 if x cannot equal to 4
{2 if x = 4
State Domain and Range
 one year ago
Graph piecewise function: p(x)={1/2x+1 if x cannot equal to 4 {2 if x = 4 State Domain and Range

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1359425377274:dwBasically what we want to do is  think of this as two different functions. It's the function \(p(x)=\dfrac{1}{2}x+1\) when `x is not 4`. And it's a different function \(q(x)=2\) when `x is 4`. So let's graph what I called `q` first, since that one is easy. c:

Shido88
 one year ago
Best ResponseYou've already chosen the best response.0so when x is not 4, that mean i can select x to be any number just dont pick 4 right ?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1For all values of x, the function produces `2`. Normally that would look like a horizontal line like this,dw:1359425605017:dwBut this function is only defined at x=4! So what we actually get is this.dw:1359425634168:dw

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Oh sorry I was looking at the `x is 4` one first c: heh

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1I should delete that line on x=4.. I think that's confusing maybe.

Shido88
 one year ago
Best ResponseYou've already chosen the best response.0plz keep explaining...i got emergency but i brb thanks! :]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1When `x is not 4` we have a linear function. It has a slope of 1/2, and a yintercept of 1.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So it will cross the yaxis at y=1

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1dw:1359425801166:dwRemember, we can only graph this line where `x is not 4`. So when we get to that spot where x is 4, we draw an open circle to show that the line is not defined there.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1The black dots on the left don't actually mean anything. I was just plotting a couple points so I could draw a line through them.

Shido88
 one year ago
Best ResponseYou've already chosen the best response.0@zepdrix what about the green dot ?

Shido88
 one year ago
Best ResponseYou've already chosen the best response.0so when x cannot equal to 4 then just don't include the 4

Shido88
 one year ago
Best ResponseYou've already chosen the best response.0oh i see now, the green dot is x=4 and it just a linear line

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Yah the green dot is where the function is defined when `x=4`. It's like you have a straight line, with a hole in it at one spot. Think of a straight line, and one of the points broke off the line and fell to a spot below somewhere. The function is still defined at x=4, just in a different place, not along the line where you would normally think. Sorry late response :C site being slow tonight.
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