From the diagram, it can be seen that 10x never lies below the x-axis. This means the function value is never negative. In fact, the function never equals 0 — it gets closer and closer to 0. To examine this, let's consider positive and negative values of x.
x | -1 | -2 | -3 | -4 |
---|---|---|---|---|
10x | 10-1 | 10-2 | 10-3 | 10-4 |
Fraction | 1011 | 1021 | 1031 | 1041 |
= | 0.1 | 0.01 | 0.001 | 0.0001 |
The "more negative" x becomes the smaller 10x will be. It gets closer and closer to 0 without actually equaling 0 or becoming negative.
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