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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
 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
 one year ago

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zepdrixBest ResponseYou've already chosen the best response.1
dw: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:
 one year ago

Shido88Best ResponseYou've already chosen the best response.0
so when x is not 4, that mean i can select x to be any number just dont pick 4 right ?
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
For 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
 one year ago

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

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

Shido88Best ResponseYou've already chosen the best response.0
plz keep explaining...i got emergency but i brb thanks! :]
 one year ago

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

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

zepdrixBest ResponseYou've already chosen the best response.1
dw: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.
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
The 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.
 one year ago

Shido88Best ResponseYou've already chosen the best response.0
@zepdrix what about the green dot ?
 one year ago

Shido88Best ResponseYou've already chosen the best response.0
so when x cannot equal to 4 then just don't include the 4
 one year ago

Shido88Best ResponseYou've already chosen the best response.0
oh i see now, the green dot is x=4 and it just a linear line
 one year ago

zepdrixBest ResponseYou've already chosen the best response.1
Yah 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.
 one year ago
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