# Shading for multiple functions on a graph

• October 19th 2009, 12:43 PM
ElectroNerd
Shading for multiple functions on a graph
Graph the area bounded by $y<\frac{1}{2}x+6$, $x+3y\geq12$, $x\geq0$, $x\leq12$.
• October 19th 2009, 08:42 PM
Quote:

Originally Posted by ElectroNerd
Graph the area bounded by $y<\frac{1}{2}x+6$, $x+3y\geq12$, $x\geq0$, $x\leq12$.

HI

Firstly , graph this 4 first lines first .

$y=\frac{1}{2}x+6$ take the area below this line , <

$y=-\frac{1}{3}x+4$ take the area above this line , >=

x=0 take area to the right of the line , >=

x=12 take are to the left of the line , <=

Then , the 'quadrilateral' as a result of the intersection of these lines is most likely to be the region bounded . I am not saying it's but normally it is . So now you will have to check .