Loading....
Coupon Accepted Successfully!

 

Sketching a Graph

To sketch any graph, we make a table of points on the
X-axis and corresponding points on the Y-axis.
  1. y x + 2
Making a table of points for x and y
 
Description: 4497.png

And hence the graph:
 
y = x + 2
Description: new-12-1.tif

 

  1. Description: 3327.png
Description: 4549.png 

And hence the graph:
 
Description: 9633.png 
  1. y = |x – 1| + |x − 2|
To draw the graph of any modulus function, we need to work with the help of the critical points, which help us in determining the intervals in which the modulus will be +ve or –ve.
 
Arranging the critical points on the number line:
 
 

 
For all the values − < x < 1
|x – 1| + |x − 2| = (1 − x) + (2 − x) = 3 – 2x
So, the table for values in between this interval is:
 
Description: 7220.png 

So, the graph for this interval will look like:
 
Description: 7230.png
 
For all the values 1 < x < 2
|x – 1| + |x − 2| = (x − 1) + (2 − x) = 1
So, the graph for this interval will look like:
 
Description: 11-1.tif 

For all the values x > 2
 
|x – 1| + |x − 2| = (x − 1) + (x − 2) = 2x – 3
 
Description: 7270.png 

And its graph will look like:
 
Description: 9656.png 

Combining all these graphs, we finally get,
 





Test Your Skills Now!
Take a Quiz now
Reviewer Name