"Graphic of a linear function" linear function PPT courseware 5

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"Graphic of a linear function" linear function PPT courseware 5

Definition of a one-time function:

If the relationship between two variables x and y can be expressed in the form of (k and b are constants, k≠0), then y is said to be a linear function of x, where x is the independent variable and y is the dependent variable.

In particular, when b=0, y is said to be a proportional function of x, which is expressed in the form of (k is a constant, k≠0).

Definition of function graph:

Take the values ​​of the independent variable x and the corresponding dependent variable y of a function as the abscissa and ordinate respectively, and draw its corresponding points in the rectangular coordinate system. The resulting graph composed of these points is called the image of the function.

General steps for drawing function graphs:

(1) List: Select the representative independent variable values ​​and the corresponding values ​​of the function to form a table;

(2) Draw points: Use the value of the independent variable as the abscissa, the corresponding function value as the ordinate, and draw each point in the table in the coordinate system;

(3) Connection: Connect all points with a smooth curve in the order of independent variables from small to large.

The graph of the linear function y=kx+b:

The graph of a linear function is a straight line.

Use the two-point method to draw the graph of a linear function.

Consolidation exercises

This is how Xiao Ming understands "the image of the function y=x+1 is a straight line passing through the point (0, 1)": when x=0, y=1, the values ​​on both sides of the relationship are equal, that is, point A (0 , 1) On the graph of function y=x+1;

When x increases by t units, the value of y also increases by t units than before, that is, AC=BC, △ACB is an isosceles right triangle, ∠A=45°, and this conclusion is correct for any value of t.

As shown in the figure, there are two points B1 and B2. Do you understand his thinking?

Keywords: linear function courseware, image courseware of a linear function, Beijing Normal University edition eighth grade mathematics volume PPT courseware, eighth grade mathematics slide courseware download, primary function PPT courseware download, image of a linear function PPT courseware download, .ppt Format

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Update Time: 2024-07-03

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

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