SOLUTION: Draw a piecewise function for the letter "M". (the outside legs cannot be vertical for this to be a function, it should be an inverted W) The figure must have: no formal symme

Algebra ->  Graphs -> SOLUTION: Draw a piecewise function for the letter "M". (the outside legs cannot be vertical for this to be a function, it should be an inverted W) The figure must have: no formal symme      Log On


   

Question 1158436: Draw a piecewise function for the letter "M". (the outside legs cannot be vertical for this to be a function, it should be an inverted W)
The figure must have:
no formal symmetry (WRT axes or origin)
it must be entirely within a quadrant II of the coordinate system (x<0,y>0)
it must have no function values f(x)=0 of for f(0)
all endpoints of intervals must be labeled with their coordinates
there must be at least 4 units distance between endpoints
write the piecewise function definition for your figure using linear function only
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Your answer will have this form

 

where you will fill in the blanks with the four expressions
that you get for y when finding the equations of the line 
segments with their end-points.  I'll find the first 
expression for you and fill in the first blank.

The far left leg of the "M" is the line segment connecting
the points (-11,2) and the point (-9,8).

We use the slope formula and the point-slope formula.



Then



So we fill in the first blank this way. In the first blank
we put what y equals, 3x+33, for the first line segment.  Then on
the left side of the inequality we put the x-coordinate of
the left-most endpoint of the line segment. On the right side of
the inequality we put the x-coordinate of the right-most endpoint 
of the line segment.



Now you fill in the other blanks the same way.

Edwin