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?
Since the function is even, the output of a negative x-value and its opposite is the same.
Since the function is even, the output of a negative y-value and its opposite is the same.
The graph has rotational symmetry, so the point will be reflected across the y-axis.
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

Question

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?
Since the function is even, the output of a negative x-value and its opposite is the same.
Since the function is even, the output of a negative y-value and its opposite is the same.
The graph has rotational symmetry, so the point will be reflected across the y-axis.
The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

anonymous · Answer

What is the definition of an even function? It is a function which has the property that for every x, f(x) = f(-x). In other words, f is symmetric about the y-axis.

anonymous · Answer

ok