Function f(-x) is a reflection of f(x) over the:
The reflection of a function over the x-axis is denoted by f(-x), meaning that the x-values of the original function are negated
The reflection of a function over the x-axis is denoted by f(-x), meaning that the x-values of the original function are negated. This transformation results in a mirror image of the original function, where all y-values are inverted.
To visualize this, imagine a graph of the original function f(x) on a coordinate plane. The reflection of this function, f(-x), is obtained by reflecting each point on the graph over the x-axis. So, if the original function has a point (2, 3) on its graph, the reflected function will have the point (-2, -3).
In other words, for any point (x, y) on the graph of f(x), the corresponding point on the graph of f(-x) will be (-x, -y).
Therefore, the function f(-x) is a reflection of f(x) over the x-axis.
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