"Image of Function" First-time Function PPT Courseware 2

Description

"Image of Function" First-time Function PPT Courseware 2

Let’s first think about this question:

The functional relationship between the side length x and the area S of the square is S=X²,

The value range of the independent variable x is x > 0.

Can you explain how the range x>0 is determined?

Because the actual meaning expressed by x is the side length of the square, the side length can only be positive.

For a function, if each pair of corresponding values ​​​​of the independent variable and the function is used as the horizontal and vertical coordinates of the point, then the graph composed of these points in the coordinate plane is the image of the function.

The curve in the above figure is the image of the function S=X² (x>0).

Activity conclusion:

1. Each time t in a day has a unique temperature T corresponding to it. It can be considered that the temperature T is a function of time t.

2. The lowest temperature of this day was -3℃ at 4 am, and the highest temperature was 8℃ at 14:00.

3． The temperature decreases from 0 o'clock to 4 o'clock, that is, the temperature decreases with the increase of time. The temperature rises from 4:00 to 14:00, and drops again from 14:00 to 24:00.

4. We can intuitively see from the image how the temperature changes throughout the day and what the temperature is approximately at any time.

5. If we observe such temperature images for a long time, we can get more information and understand more temperature change patterns.

We have learned how to observe and analyze image information through two activities. Now we will conduct consolidation exercises to see if you can read the information in the function graph quickly, comprehensively and accurately.

Let us summarize the general steps for drawing the graph of a function using the point drawing method.

Step one: list. Select some values ​​within the value range of the independent variable. Find the corresponding function values ​​through functional relationship expressions and list them in a table.

Step 2: Draw points. In the rectangular coordinate system, with the value of the independent variable as the abscissa and the corresponding function value as the ordinate, draw the corresponding points in the table.

Step 3: Connect. Connect all points with smooth curves in order of coordinates from small to large.

Summary and improvement

1. The horizontal and vertical coordinates of the points on the function graph correspond to the independent variable value and the function value respectively.

2. The key to studying practical problems from the information obtained from the function graph is to distinguish the actual meaning of the horizontal and vertical axes.

Keywords: One-time function courseware, image courseware of function, New People's Education Edition eighth-grade mathematics PPT courseware, eighth-grade mathematics slide courseware download, one-time function PPT courseware download, image of function PPT courseware download, .ppt format

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Update Time: 2024-10-28

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

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