Problem Set 3

Problem Set 3
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  • Jill, let's talk about graphs and their restrictions. Here is an equation on the board.
  • Y=(log(x-3))
  • Cool, where do we begin?
  • If you were to plug this into your calculator, this is what would appear. What do you notice?
  • I notice that it doesn't move that far to the left.
  • Good job Jill, what you are noticing is called a restriction.
  • What is a restriction?
  • It means that the variable cannot have the value of the numbers being restricted
  • Y=(log(x-3))
  • How do I know what the restriction in this equation is?
  • Well in logarithms, when X is in that position, it has to be greater than 0 because 10^X can not equal zero. Basically any number to any power will never equal zero.
  • Well our equation is different, what is the restriction for Y=(log(x-3))?
  • Y=(log(x-3))
  • Y=(log(x-3))
  • Basically you have to figure out what numbers for X that X-3 won't be less than or equal to zero. Those are the numbers greater than 3. Therefore, all numbers less than or equal to 3 are restricted. Then you would draw that dotted line on the graph to show the restriction.
  • Wow, thanks! I'm glad I know now that some graphs have restrictions! Thanks, Bob!
  • X=3
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