# Shared Flashcard Set

## Details

2-Precalculus:Homework:2.5:Notes
2-Precalculus:Homework:2.5:Notes
34
Mathematics
02/15/2016

Term
 When determining intervals on which the function is increasing or decreasing the interval is based on what value?
Definition
 The "x" value where the interval begins/ends increasing, decreasing, or stays constant.
Term
 If there are multiple intervals, where a function is(increasing/decreasing/constant) what do you do?
Definition
 Use union symbols to represent intersections.
Term
 What is the domain?
Definition
 The interval of "x" values
Term
 What is the range?
Definition
 The interval of "y" values
Term
 What is an interval?
Definition
 [Lowest Value, Highest Value]
Term
 Intervals at solid points are included, while intervals at holes are?
Definition
 Excluded
Term
 What is Slope Formula?(x1,y1) (x2,y2)
Definition
 ((y2-y1)/(x2-x1))=Slope
Term
 What is Slope Formula?(A,B) (C,D)
Definition
 ((D-B)/(C-A))=Slope
Term
 How do you find x-intercept when given a graph?
Definition
 1.)Pick two points on a line that crosses the x-axis:(A,B) (C,D)---2.)Use Slope Formula to Calculate Slope((D-B)/(C-A))=Slope---3.)Put it in Point Slope Form(y-D)=(Slope)(x-C)---4.)Set it in slope intercept form by setting the Point-Slope form equal to "y".---5.)Set "y" equal to zero and solve for "x".---
Term
 What is Slope Intercept Form?
Definition
 y=(Slope)x+(y-intercept)
Term
 What is Point Slope Form?(A,B) (C,D)
Definition
 (y-D)=(Slope)(x-C)
Term
 What is Point Slope Form?(x1,x2) (y1,y2)
Definition
 y-y2=(Slope)(x-x2)
Term
 What is (A/B)*C?
Definition
 (AC/B)
Term
 What is (A/B)+(C/D)?
Definition
Term
 What is (A/B)-(C/D)?
Definition
Term
 What is (A/B)/(C/D)?
Definition
Term
 How do you find y-intercept when given a graph?
Definition
 1.)Pick two points on a line that crosses the x-axis:(A,B) (C,D)---2.)Use Slope Formula to Calculate Slope((D-B)/(C-A))=Slope---3.)Put it in Point Slope Form(y-D)=(Slope)(x-C)---4.)Set it in slope intercept form by setting the Point-Slope form equal to "y".---5.)Set "x" equal to zero and solve for "y".---
Term
 When is a graph positive?
Definition
 When a line rises from left to right.
Term
 When is a graph negative?
Definition
 When a line falls from left to right.
Term
 When is a graph neither negative or positive?
Definition
 When a line is constant.
Term
 If a curve does not touch the "y" axis the it does not have a what?
Definition
 y-intercept
Term
 If a curve does not touch the "x" axis the it does not have a what?
Definition
 x-intercept
Term
 What is the x-intercept?
Definition
 Where the graph crosses the x-axis
Term
 What is the y-intercept?
Definition
 Where the graph crosses the y-axis
Term
 What is a y-intercept like?
Definition
 (0,A)
Term
 What is a x-intercept like?
Definition
 (A,0)
Term
 How does one calculate average rate of change?
Definition
 Difference Quotient of the Form
Term
 What is the Difference Quotient of the Form?
Definition
 (f(b)-f(a)/(b-a)
Term
 How do you find the Difference Quotient of a problem of this Form?---Problem:f(x)=Cx^2+x,a=D---Difference Quotient(f(x)-f(a)/(x-a)----
Definition
 (Cx)+(-f(a))/-a)
Term
 How do you find the difference quotient of a problem of this form?---Difference Quotient:((f(x+h)-(f(x))/h---Problem:f(x)=(Ax^2)+Bx+C---
Definition
 1.)Solve the problem by plugging in the function and completing the proper calculations.---
Term
 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?---
Definition
 1.)This is the function...V=x(A-2x)(A-2x)---
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?---
Definition
 1.)The domain is...0---
Term
 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?---
Definition
 1.)An Arch---
Term
 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?---
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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