12oz because it's cheaper per oz
- Domain:<u> List of x-values that are possible on a line</u>
- Range: <u>List of y-values that are possible on a line</u>
- Interval Notation: <u>Notation that represents the interval using the endpoints.</u> Brackets mean that the endpoint is included, parentheses means that it isn't. (e.g: (20,27] . 20 isn't included in the interval, 27 is.)
- Additional Note: <u>Open circles mean that the point is excluded, closed circles mean that the point is included.</u>
Firstly, let's look at the domain. We see an open circle at x = -6 and a closed circle at x = -1, then an open circle at x = 1 and a closed circle at x = 5. Using what we know, this means that <u>the domain is
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Next, let's look at the range. We see an open circle at y = -3 and a closed circle at y = 2, then we see a closed circle at y = 3 and an open circle at y = 7. Using what we know, this means that <u>the range is
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Y = x^2 - 8x + 5 Put brackets around the first two terms.
y = (x^2 - 8x ) + 5 Add (8/2)^2 on the inside of the brackets. Translated into mathese that means take 1/2 of the linear term (8x), drop the x and square the rest
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(1/2 8)^2 = 4^2 = 16
y = (x^2 - 8x + 16) - 5 What you put inside the brackets, you must subtract outside the brackets.
y = (x^2 - 8x + 16) - 5 - 16 Combine like terms.
y = (x^2 - 8x + 16) - 21 Show what is inside the brackets as a square.
y = (x - 4)^2 - 21 <<<<<<<<< Answer.