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# Draw the graphs of some functions

Draw the graphs of the functions defined below on the interval , and if it is a step function find a partition such that the function is constant on the open subintervals of .

1. .
2. .
3. .
4. .
5. .
6. .

1. This is not a step function. The graph is below. 2. This is not a step function. The graph is below. 3. This is a step function and it is constant on the open subintervals of the partition, . The graph is below. 4. This is a step function and it is constant on the open subintervals of the partition, . The graph is below. 5. This is a step function and it is constant on the open subintervals of the partition, . The graph is below. 6. This is a step function and it is constant on the open subintervals of the partition, . The graph is below. 1. Hanz Marin says:

Shouldn’t partitions points be the ones inside the interval? I mean, not considering the extreme points?

2. Sebastian says:

Dude i might be wrong but shouldn’t graph c be one to the right, cause de interval from -2 to -1 should be on 2 on the y axis.

• Nevermind, i got it XD

3. Yassin says:

in th graph c should not be open on left side of each point of the partition and closed on the right side?

• RoRi says:

Yeah, they should. I’ll fix it. Thanks for letting me know!

• Yassin says:

Thank you for this amazing web site, listen i am solving the book Introduction to Linear Algebra written by Serge Lang, if you want i can salve my solutions and send to you maybe can be usefull :) I am sorry if i wrote wrong some phrase, actually english is not my native language haha.

4. Leonardo says:

Graph in part e), the last point should be filled as when x=2 f(x)=2

• RoRi says:

Thanks! Fixed.