# Problem Set 3

More Options: Make a Folding Card

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#### Storyboard Text

• ﻿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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