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If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?
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If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

User Kobie
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A. Since the function is even, the output of a negative x-value and its opposite is the same. 
User Vitor Py
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8.5k points
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An even function implies f(x) = f(-x)
We know that if (6,8) is a point on the graph, then f(6) = 8
By definition, f(6) = f(-6) = 8
So (-6, 8) is also a point on the graph.
User Nitya Kumar
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8.7k points
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