## Graphing something when given only domain and range?

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
MathDumbo
Posts: 4
Joined: Sun Sep 20, 2009 3:09 pm
Contact:

### Graphing something when given only domain and range?

How do I graph something given only the Domain and Range?
Ex:Domain:{x:3<x<7}
Range:{y:1<y<10}
I really need help.Thanks in advance.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
If all they've given you is the domain and range, then there is no way to graph the function, since they haven't given you enough information.

What is the full and exact text of the exercise and its instructions? Thank you!

MathDumbo
Posts: 4
Joined: Sun Sep 20, 2009 3:09 pm
Contact:

### Re: Graphing something when given only domain and range?

For problems 17 through 20,sketch a graph of a function with the given domain and range.

17.)Domain:{x:3<x<7}, Range:{y:1<y<10}

18.)Domain:{x:1<x<4}, Range:{y:-3<y<5}

19.)Domain:{x:2<x<3}, Range:{y:5<y<7}

20.)Domain:{x:0<x<5}, Range:{y:2<y<7} (Be Clever!)

These are the problems directly from the book.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
Ah! "Sketch a graph." That makes a lot more sense!

Take the bounds they've given you, lightly sketch a rectangle enclosing these bounds, and then draw any curve you like that touches all four sides. Just make sure that the curve doesn't turn back on itself sideways, because then it wouldn't represent a function.

The simplest graph would probably be a straight line from one left-hand corner to the opposite right-hand corner.

MathDumbo
Posts: 4
Joined: Sun Sep 20, 2009 3:09 pm
Contact:

### Re: Graphing something when given only domain and range?

Oooh cool,alright thanks!But can you give me an example for the first graph just so I know what to do for sure?

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
Contact:
Draw a line from one corner on the left diagonally across to the opposite corner on the right.