How to tell graph immediately by looking at the function?

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Nathalie

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Sep 27, 2009
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How do you tell what type or an estimation of how the graph will look like by just looking at the function? (without having to make a table)

What keyword should I put in in order to look up information for that type of information?

I am not looking about simply equation just like y = x or something like that... but more like functions like... (x^2 - 1) / x -1 etc. Some people can tell right away how the graph looks like and can make a sketch immediately :/ what lesson am I missing?

Please help, thanks in advance.

P.S. I don't have my textbook with me since it is in other state so I can't even look it up >_< but I need to know it to prepare for my quiz.
 
Nathalie said:
How do you tell what type or an estimation of how the graph will look like by just looking at the function? (without having to make a table)

By memorizing the graph of each of the basic functions, followed by performing transformations.

What keyword should I put in in order to look up information for that type of information?

Try "transformations of graphs"

I am not looking about simply equation just like y = x or something like that... but more like functions like... (x^2 - 1) / x -1 etc. Some people can tell right away how the graph looks like and can make a sketch immediately :/ what lesson am I missing? About two weeks of instruction, I think.

Please help, thanks in advance.

P.S. I don't have my textbook with me since it is in other state so I can't even look it up >_< but I need to know it to prepare for my quiz.
Click to expand...
 
A graphing calculator is an excellent tool for quickly evaluating how a graph behaves
 
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