"Image and Properties of a linear function" PPT courseware of a linear function

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"Image and Properties of a linear function" PPT courseware of a linear function

Draw graphs of linear functions y=2x and Y=2X+1

1. List: Select several pairs of corresponding values ​​of independent variables and functions and list them in the following table.

2. Draw points: Use X in the table as the abscissa and Y as the ordinate to get two sets of points and write these points (expressed in coordinates). Then draw a plane rectangular coordinate system and draw these points in the coordinate system. point.

Please compare the following graphs of the functions y=x, y=x+2, y=x-2. What are the similarities and differences?

The shapes of the graphs of these functions are all ____, and the degree of inclination is ____. The graph of the function y=x passes through the origin, and the graph of the function y=x+2 intersects the y-axis at the point ____, that is, it can It is regarded as obtained by translating the straight line y=x to __ by ____ unit length. The graph of the function y=x-2 intersects the y-axis at point ____, that is, it can be seen as being obtained by translating the straight line y=x to ____ by ____ unit lengths.

Classroom test:

(1) The straight line y=3x-2 can be obtained by translating the straight line y=3x to ____ by ____ units.

(2) The straight line y=x+2 can be obtained by moving the straight line y=x-1 to ____ by ____ units.

A linear function usually selects the line connecting two points (0, b) and (-b/k, 0).

The linear function y = kx + b ( k ≠ 0 ) has the following properties:

(1) When k > 0, y ____ as x increases.

(2) When k < 0, y ____ as x increases.

Given the linear function y=(1-2m)x+m-1, find the value of m that satisfies the following conditions:

(1) The function value y increases with the increase of x;

(2) The function graph intersects the negative half-axis of the y-axis;

(3) The graph of the function passes through the second, third, and fourth quadrants;

(4) The graph of the function passes through the origin.

Class summary

1. Be able to draw the graph of a function

2. The image and properties of a linear function, the meaning and role of the constants k and b.

3. Ideas and methods of combining numbers and shapes, from special to general ideas and methods.

4. Further experience the general ideas and methods of studying functions.

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For more information about the PPT courseware "The image and properties of linear functions, linear functions", please click on the image and properties of linear functions ppt linear function ppt tag.

Download the PPT courseware of "The Image and Properties of a Linear Function":

"The Image and Properties of a Linear Function" PPT courseware download part one content: The image of a function takes the values ​​of the independent variable x and the corresponding dependent variable y of a function as the abscissa and ordinate of the point respectively, and depicts them in the rectangular coordinate system Its corresponding points, all these point groups..

"Image and Properties of a Linear Function" PPT download:

"Image and Properties of a linear function" PPT download Part 1: Learning objectives 1. Master the drawing method of the image of a linear function, and get a preliminary feel for its image. 2. Further understand the concepts and images of proportional functions and linear functions in the comparison of special and general key points..

"The Image and Properties of a Linear Function" PPT courseware:

"The Image and Properties of a linear function" PPT courseware Part 1: Exploration 1. Are the points (x, y) corresponding to x and y that satisfy the relationship y= -2x+5 all on the image of a linear function? The points (x, y) corresponding to x and y that satisfy the relationship are all on the image. 2..

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Update Time: 2024-10-03

This template belongs to Mathematics courseware People's Education Press Eighth Grade Mathematics Volume 1 industry PPT template

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