## Ammarah one year ago Sketch the graph of the piecewise defined function by hand

1. Ammarah

|dw:1439747524104:dw|

2. Ammarah

@ganeshie8 @mathstudent55

3. Michele_Laino

hint: |dw:1439747762727:dw|

4. Michele_Laino

here, you have to choose the right pieces from both graphs

5. Ammarah

oh like if its less than or greater

6. Ammarah

|dw:1439748014126:dw|

7. Michele_Laino

hint: |dw:1439748052974:dw|

8. Michele_Laino

what is the domain of that second function?

9. Ammarah

?

10. Michele_Laino

11. Michele_Laino

for example I consider the subsequent function: f(x)= sqrt(4-x) Now the radical exists, if and only if the subsequent condition holds: \[4 - x \geqslant 0 \Rightarrow x \leqslant 4\] am I right?

12. Ammarah

yes

13. Michele_Laino

so that part of function is defined inside this interval of the real line: \[0 \leqslant x \leqslant 4\]

14. Michele_Laino

since, from your definition sqrt(4-x) is given for all x such that they are greater or equal to zero

15. Michele_Laino

now, please do the same with the other part of your function, namely f(x)=sqrt(4+x)

16. Michele_Laino

hint: from your definition we have x<0, furthermore, the radical exists if and only if \[4 + x \geqslant 0\] so, what do you get?

17. Michele_Laino

please note that in order to draw the graph of your function, we need to know its domain