An equation can be solved graphically by graphing the equation on a graphing device, then reading the x-value of the equation where it crosses the y-axis. A graphical solution is not exact, but is an approximation. Typically one 'zooms in' on the x-intercept until the value can be read with sufficient accuracy.
Iteration | Graph | Description |
---|---|---|
1 | This is the initial graph. We will be finding the solution of the equation between -1 and -2. | |
2 | When we zoom in on the x-intercept, we can see that the root is between -1.7 and -1.8. | |
3 | As we zoom in again, we can see that the root is between -1.73 and -1.74. | |
4 | As we zoom in once more, the root is between -1.732 and -1.733. Since it is about 1/10 the way from -1.732 and -1.733, the value of the root is approximately -1.7321. | |
Example 1 |
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E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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