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| When determining intervals on which the function is increasing or decreasing the interval is based on what value? |
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Definition
| The "x" value where the interval begins/ends increasing, decreasing, or stays constant. |
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| If there are multiple intervals, where a function is(increasing/decreasing/constant) what do you do? |
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Definition
| Use union symbols to represent intersections. |
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Definition
| The interval of "x" values |
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| The interval of "y" values |
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| [Lowest Value, Highest Value] |
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| Intervals at solid points are included, while intervals at holes are? |
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Definition
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What is Slope Formula?
(x1,y1) (x2,y2) |
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Definition
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What is Slope Formula?
(A,B) (C,D) |
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Definition
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| How do you find x-intercept when given a graph? |
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Definition
1.)Pick two points on a line that crosses the x-axis:
(A,B) (C,D)
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2.)Use Slope Formula to Calculate Slope
((D-B)/(C-A))=Slope
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3.)Put it in Point Slope Form
(y-D)=(Slope)(x-C)
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4.)Set it in slope intercept form by setting the Point-Slope form equal to "y".
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5.)Set "y" equal to zero and solve for "x".
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| What is Slope Intercept Form? |
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Definition
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What is Point Slope Form?
(A,B) (C,D) |
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Definition
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What is Point Slope Form?
(x1,x2) (y1,y2) |
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Definition
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Definition
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Definition
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Definition
1.)(A/B)*(D/C)
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2.)(AD/BC)
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Term
| How do you find y-intercept when given a graph? |
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Definition
1.)Pick two points on a line that crosses the x-axis:
(A,B) (C,D)
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2.)Use Slope Formula to Calculate Slope
((D-B)/(C-A))=Slope
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3.)Put it in Point Slope Form
(y-D)=(Slope)(x-C)
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4.)Set it in slope intercept form by setting the Point-Slope form equal to "y".
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5.)Set "x" equal to zero and solve for "y".
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Term
| When is a graph positive? |
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Definition
| When a line rises from left to right. |
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| When is a graph negative? |
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Definition
| When a line falls from left to right. |
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| When is a graph neither negative or positive? |
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Definition
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| If a curve does not touch the "y" axis the it does not have a what? |
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Definition
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| If a curve does not touch the "x" axis the it does not have a what? |
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Definition
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Definition
| Where the graph crosses the x-axis |
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| Where the graph crosses the y-axis |
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| What is a y-intercept like? |
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Definition
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| What is a x-intercept like? |
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Definition
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| How does one calculate average rate of change? |
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Definition
| Difference Quotient of the Form |
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| What is the Difference Quotient of the Form? |
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Definition
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How do you find the Difference Quotient of a problem of this Form?
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Problem:
f(x)=Cx^2+x,a=D
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Difference Quotient
(f(x)-f(a)/(x-a)
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Definition
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How do you find the difference quotient of a problem of this form?
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Difference Quotient:
((f(x+h)-(f(x))/h
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Problem:
f(x)=(Ax^2)+Bx+C
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Definition
1.)Solve the problem by plugging in the function and completing the proper calculations.
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What function would represent the volume of a box made from a piece of sheet metal that is "A" centimeters by "A". With the square corners cut out so that the sides can be folded up to make a box. Letting "x" represent the length of a cut-out square?
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Definition
1.)This is the function...
V=x(A-2x)(A-2x)
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Term
What is the domain of a box made from a piece of sheet metal that is "A" centimeters by "A". With the square corners cut out so that the sides can be folded up to make a box. Letting "x" represent the length of a cut-out square?
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Definition
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What is the graph of a box made from a piece of sheet metal that is "A" centimeters by "A". With the square corners cut out so that the sides can be folded up to make a box. Letting "x" represent the length of a cut-out square?
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Definition
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What is the maximum value of a box made from a piece of sheet metal that is "A" centimeters by "A". With the square corners cut out so that the sides can be folded up to make a box. Letting "x" represent the length of a cut-out square?
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Definition
1.)You can guess it, it's not all three the same number, and the numbers don't feel that related to the function.
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