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Download the PPT courseware "Image and Properties of a Linear Function"
Part 1: Graph of functions
Take 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 draw its corresponding point in the rectangular coordinate system. The graph composed of all these points is called the image of the function.
Hands-on operation, in-depth exploration (do it)
(1) Draw the graph of the proportional function y=-3x.
(2) Pick several points on the created image, find their abscissa and ordinate, and verify whether they all satisfy the relationship y=-3x.
Discuss
(1) Are the points (x, y) corresponding to x and y that satisfy the relationship y=-3x all on the image of the proportional function y=-3x?
(2) Do all points (x, y) on the graph of the proportional function y=-3x satisfy the relationship y=-3x?
(3) What are the characteristics of the graph of the proportional function y=kx? How do you understand it?
The image and properties of a linear function PPT, the second part: summary
The graph of the proportional function y=kx is a straight line passing through the origin.
Therefore, when drawing the graph of a proportional function, you only need to determine another point and draw a straight line from this point to the origin.
In the proportional function y=kx,
When k>0, the value of y increases as the value of x increases;
When k<0, the value of y decreases as the value of x increases;
(1) Among the proportional functions y=x and y=3x, as the value of x increases, the value of y increases. Which one increases faster? Can you explain why?
(2) Among the proportional functions y=-1/2x and y=-4x, as the value of x increases, the value of y both decreases. Which one of them decreases faster? How do you judge?
The image and properties of a linear function PPT, the third part: Class summary
1. There is a one-to-one correspondence between functions and images;
2. The graph of a proportional function is a straight line passing through the origin;
3. When making the graph of a proportional function, you can quickly make it by just taking another point outside the origin;
Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, PPT download of images and properties of linear functions, .PPT format;
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"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..
"The Image and Properties of a Linear Function" PPT:
"The Image and Properties of a Linear Function" PPT Part One Content: Learning Objectives: 1. Experience the drawing process and initially understand the general steps of making a function image; 2. Understand the correspondence between the algebraic expression and the image of a linear function; 3 .Be able to write a letter more skillfully..