salparadise64
hey guys, sal here
would like some help with these piecewise graphs
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UnkleRhaukus
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step one: find the domain of each piece,
step two: find the equation that describes the interval on each domain
step three: combine
UnkleRhaukus
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ill give you a different example
|dw:1360553796475:dw|
UnkleRhaukus
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|dw:1360554027098:dw|
the domain for the first piece is 0≤x≤2
the equation for this interval is y=x
the domain for the second piece is 2≤x
the equation for the second piece is y=2
UnkleRhaukus
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combining \[y=\begin{cases}x&0≤x≤2\\2&2≤x\end{cases}\]
UnkleRhaukus
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makes sense?
salparadise64
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yes!! a million times yes!! let me work it out! thank you so much, about to give up.
salparadise64
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can you help me with number 1 on my link above? just to know im doing it right?
UnkleRhaukus
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what have you got so far?
salparadise64
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for the first one i got \[f(x) = \left\{ 3 ; 0 \le x \le 3\right\}\]
salparadise64
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and \[\left\{ x ; 3\le x \le 6 \right\}\]
UnkleRhaukus
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what did you get for the equation of the second interval , y=x? thats not right
salparadise64
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how?
UnkleRhaukus
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i mean y=-x+7
the slope is -1
and the y- intercept would be at y=7
salparadise64
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how did you get that thou/
UnkleRhaukus
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|dw:1360558315458:dw|
UnkleRhaukus
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|dw:1360558377826:dw|
UnkleRhaukus
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|dw:1360558456267:dw|
UnkleRhaukus
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\[y=mx+b=-x+7\]
salparadise64
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OHHHHHH
salparadise64
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is that the way to do it thou? or is there some equation/
UnkleRhaukus
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um, you could find the equation of the line using the
Two-point formula, since you have at least two points
salparadise64
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how would i got about doing that?
salparadise64
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i thik thats what they want us to do.
UnkleRhaukus
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the Two-point formula\[y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\]
salparadise64
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do i get just any set of points?
UnkleRhaukus
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so you could use the points
\((x_1,y_1)=(3,4)\)
\((x_2,y_2)=(6,1)\)
but you could choose different points on the line and you should get the same answer
salparadise64
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thank you!