How to prove whether the function is even or odd?
| February 22, 2021 | education
A function F is called even / odd if the following conditions are satisfied:
1) If x belongs to the domain, then (-x) belongs to the domain.
2) For any x from the domain F (x) = F (-x) / F (x) = -F (-x).
The pair function graph is symmetrical about the OY axis.
The graph of the unpaired function is symmetric about the point O.
In order to determine whether the function is paired / unpaired, it is enough to check it for the fulfillment of conditions 1) and 2) or to build a graph.
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