File:Function image and preimage 3.png
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Summary
| Description |
Illustration of y=(x-1)*(x-3)*(x-5) with preimage gotten from y = [1,2.5] and image from x = [3.50, 4.25], with arrows. (This is the graph of the function "f(x) = x3 − 9x2 + 23x − 15", when written in unfactored form.) The interval A = [3.5, 4.25] is a subset of the domain, thus it is shown as part of the x-axis (green). The image of A is (approximately) the interval [−3.08, −1.88]. It is obtained by projecting to the y-axis (along the blue arrows) the intersection of the graph with the light green area consisting of all points whose x-coordinate is between 3.5 and 4.25, the part of the (vertical) y-axis shown in blue. The preimage of B = [1, 2.5] consists of three intervals. They are obtained by projecting the intersection of the light red area with the graph to the x-axis. |
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| Source |
Graph derived from Excel and artwork added via Autodesk Sketchbook Pro |
| Date |
2012-09-02 |
| Author | |
| Permission (Reusing this file) |
See below. |
- Other information
Added arrows to indicate "flow", perhaps will help student
Licensing
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I, the copyright holder of this work, hereby publish it under the following licenses:
Lua error in package.lua at line 80: module 'strict' not found. Lua error in package.lua at line 80: module 'strict' not found.
You may select the license of your choice.
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Lua error in package.lua at line 80: module 'strict' not found.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:42, 25 April 2021 | | 646 × 399 (71 KB) | Thales (talk | contribs) |
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