# function point Watch

Announcements

Page 1 of 1

Go to first unread

Skip to page:

Report

#2

0

reply

have you figured something out

NEXT

0

reply

have a geometric object straight line a(AB) , make free movement of point A and B , you will get different values a , This procedure is applied to the numerical line ( point A and B are located on the numerical line ) and it should be shown an algebraic , you will get the function

y(straight line a)=x(point A)-f(x)(point B) or y(straight line a)=f(x)(point B)-x(point A) , y=x-f(x) or y=f(x)-x

0

reply

form function points, the Pythagorean theorem as part of the function (90 degrees)

0

reply

Report

#7

(Original post by

form function points, the Pythagorean theorem as part of the function (90 degrees)

**point.ms**)form function points, the Pythagorean theorem as part of the function (90 degrees)

0

reply

(Original post by

do you have a question?

**tombayes**)do you have a question?

solution of the task -

we have the numerical line , on it is straight line AB , point A is located on a number of numerical line , point B anywhere of numerical line , how to describe this as a function ?

0

reply

A=a , B=x , AB=y , y=|a-x| or y=|x-a|

example

a=5 , x=(2,5,10)

y=|5-2|=3 or y=|2-5|=3 , length straight AB=3

y=|5-5|=0 or y=|5-5|=0 , no straight AB

y=|5-10|=5 or y=|10-5|=5 , length straight AB=5

we have the number line , on it is straight line AB , point A anywhere of number line , point B anywhere of number line , how to describe this as a function ?

example

a=5 , x=(2,5,10)

y=|5-2|=3 or y=|2-5|=3 , length straight AB=3

y=|5-5|=0 or y=|5-5|=0 , no straight AB

y=|5-10|=5 or y=|10-5|=5 , length straight AB=5

we have the number line , on it is straight line AB , point A anywhere of number line , point B anywhere of number line , how to describe this as a function ?

0

reply

first solution

A=x, B=x , AB=y , y= or y=

example

x =(2,8) , x=(-10,-20)

y=|2-(-10)|=12 , length straight AB=12

y=|2-(-20)|=22 , length straight AB=22

y=|8-(-10)|=18 , length straight AB=18

y=|8-(-20)|=28 , length straight AB=28

second solution

A=x , B==f(x) , AB= , =|x-f(x)| or =|f(x)-x|

example

x=(3,7) , f(x)=3-2

y=|3-(27-2)|=22 , length straight AB=22

y=|7-(147-2)|=138 , length straight AB=138

Comment - the structure of the current function: the dependent variable (y) of n independent variables ().

here we have a new structure functions: x independent variable, dependent variable (depending on x), dependent variable (depending on x and depends on (f (x))

continuation - dynamic graphics, static graphics, partial graph y=|a-x| ?

A=x, B=x , AB=y , y= or y=

example

x =(2,8) , x=(-10,-20)

y=|2-(-10)|=12 , length straight AB=12

y=|2-(-20)|=22 , length straight AB=22

y=|8-(-10)|=18 , length straight AB=18

y=|8-(-20)|=28 , length straight AB=28

second solution

A=x , B==f(x) , AB= , =|x-f(x)| or =|f(x)-x|

example

x=(3,7) , f(x)=3-2

y=|3-(27-2)|=22 , length straight AB=22

y=|7-(147-2)|=138 , length straight AB=138

Comment - the structure of the current function: the dependent variable (y) of n independent variables ().

here we have a new structure functions: x independent variable, dependent variable (depending on x), dependent variable (depending on x and depends on (f (x))

continuation - dynamic graphics, static graphics, partial graph y=|a-x| ?

0

reply

y = a-x

The graph of the current solution:

x-coordinate represents all real numbers, when solved function we have two numbers (y, x) , introduces the new coordinates y perpendicular to the x-coordinate and cut the number 0 (plane), the number of y is transferred to the y-coordinate , line (which is parallel to the y-coordinate, and on it is a point that is the number x) is cut from the line (which is parallel to the x-coordinate and it is a point that is the number y) gets the point in the plane (x, y)

which means that the point (x, y) on the x-coordinate of the mapped into a point in the plane (x, y) points are merged to obtain a graph

y = | a-x |

Graph of my solution:

x-coordinate represents all real numbers, when solved function we have three numbers (a, y, x), introduces the new coordinates y perpendicular to the x-coordinate and cut the number 0 (plane), the number of y is transferred to the y-coordinates, lines (the first parallel to the y-coordinate, and on it is a point that is the number a , the second is parallel to the y-coordinate, and on it is a point that is the number x) is cut from the line (which is parallel to the x-coordinate and it is the point which is also the number y) gave the points in the plane (x, y) and (a, y) of the connecting point is obtained straight line

which means that the points (a, x, y) on the x-coordinates are mapped onto the straight line AB in the plane (A (x, y) B (s, y)), the straight line are merged to obtain the graph of

Dynamic graph: x solution

- semi-line

()>x>0- straight line

x=0 -point

0<x()- straight line

semi-line

reads : semi-line ( ) , passes into straight line (()>x>0) reduces the length , exceeds the point ( x=0 ) , goes straight line and changes in direction and increases the length (0<x(), straight line the semi-line passes into ()

y=|3-x| , x=(1 ,2,3 ,4.5 ) , red color to the solution

https://d6pdkg.bn1302.livefilestore....sse.png?psid=1

Dynamic graph: y solution

y=0 - point

0<y<() - straight line

- line

reads : point ( y=0) passes into straight line ( 0<y<() and increases the length of the , passes straight line the line ()

y=( 0 , 1 , 2 ) , red color to the solution

https://qhdrnq.bn1302.livefilestore....ssp.png?psid=1

The graph of the current solution:

x-coordinate represents all real numbers, when solved function we have two numbers (y, x) , introduces the new coordinates y perpendicular to the x-coordinate and cut the number 0 (plane), the number of y is transferred to the y-coordinate , line (which is parallel to the y-coordinate, and on it is a point that is the number x) is cut from the line (which is parallel to the x-coordinate and it is a point that is the number y) gets the point in the plane (x, y)

which means that the point (x, y) on the x-coordinate of the mapped into a point in the plane (x, y) points are merged to obtain a graph

y = | a-x |

Graph of my solution:

x-coordinate represents all real numbers, when solved function we have three numbers (a, y, x), introduces the new coordinates y perpendicular to the x-coordinate and cut the number 0 (plane), the number of y is transferred to the y-coordinates, lines (the first parallel to the y-coordinate, and on it is a point that is the number a , the second is parallel to the y-coordinate, and on it is a point that is the number x) is cut from the line (which is parallel to the x-coordinate and it is the point which is also the number y) gave the points in the plane (x, y) and (a, y) of the connecting point is obtained straight line

which means that the points (a, x, y) on the x-coordinates are mapped onto the straight line AB in the plane (A (x, y) B (s, y)), the straight line are merged to obtain the graph of

Dynamic graph: x solution

- semi-line

()>x>0- straight line

x=0 -point

0<x()- straight line

semi-line

reads : semi-line ( ) , passes into straight line (()>x>0) reduces the length , exceeds the point ( x=0 ) , goes straight line and changes in direction and increases the length (0<x(), straight line the semi-line passes into ()

y=|3-x| , x=(1 ,2,3 ,4.5 ) , red color to the solution

https://d6pdkg.bn1302.livefilestore....sse.png?psid=1

Dynamic graph: y solution

y=0 - point

0<y<() - straight line

- line

reads : point ( y=0) passes into straight line ( 0<y<() and increases the length of the , passes straight line the line ()

y=( 0 , 1 , 2 ) , red color to the solution

https://qhdrnq.bn1302.livefilestore....ssp.png?psid=1

0

reply

static graphics

Ap and Aq semi-line and surface between them

https://o9alca.bn1302.livefilestore..../ss.png?psid=1

Ap and Aq semi-line and surface between them

https://o9alca.bn1302.livefilestore..../ss.png?psid=1

0

reply

X

Page 1 of 1

Go to first unread

Skip to page:

### Quick Reply

Back

to top

to top