## salparadise64 2 years ago hey guys, sal here would like some help with these piecewise graphs

2. UnkleRhaukus

step one: find the domain of each piece, step two: find the equation that describes the interval on each domain step three: combine

3. UnkleRhaukus

ill give you a different example |dw:1360553796475:dw|

4. UnkleRhaukus

|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

5. UnkleRhaukus

combining $y=\begin{cases}x&0≤x≤2\\2&2≤x\end{cases}$

6. UnkleRhaukus

makes sense?

yes!! a million times yes!! let me work it out! thank you so much, about to give up.

can you help me with number 1 on my link above? just to know im doing it right?

9. UnkleRhaukus

what have you got so far?

for the first one i got $f(x) = \left\{ 3 ; 0 \le x \le 3\right\}$

and $\left\{ x ; 3\le x \le 6 \right\}$

12. UnkleRhaukus

what did you get for the equation of the second interval , y=x? thats not right

how?

14. UnkleRhaukus

i mean y=-x+7 the slope is -1 and the y- intercept would be at y=7

how did you get that thou/

16. UnkleRhaukus

|dw:1360558315458:dw|

17. UnkleRhaukus

|dw:1360558377826:dw|

18. UnkleRhaukus

|dw:1360558456267:dw|

19. UnkleRhaukus

$y=mx+b=-x+7$

OHHHHHH

is that the way to do it thou? or is there some equation/

22. UnkleRhaukus

um, you could find the equation of the line using the Two-point formula, since you have at least two points

how would i got about doing that?

i thik thats what they want us to do.

25. UnkleRhaukus

the Two-point formula$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

do i get just any set of points?

27. UnkleRhaukus

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