An alternating function is a function in which the interchange of two independent variables changes the sign of the dependent variable.
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In group theory, an alternating group is a group of even permutations of a finite set.
When you plug something into the wall socket at home, (mains power) you are using alternating current, when you use something powered by a battery, you are using direct current.
Alternating adding and subtracting 100
Alternating current (AC) continually flows in one direction then it changes direction and flows the other way. This switching back and forth creates what is called a sinusoid or sine wave. Frequency is the rate of this back and forth switching in alternating current. Frequency is measured in Hertz (Hz) which is the number times a wave switches back and forth PER SECOND or better described as CYCLES PER SECOND.
Not every relation is a function. But every function is a relation. Function is just a part of relation.