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If f(x) is an even function, which statement about the graph of f(x) must be true? -It has rotational symmetry about the origin. -It has line symmetry about the line y = x. -It has line symmetry about the y-axis. -It has line symmetry about the x-axis

Blair Lewis

in Mathematics

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Ross Pratt on August 20, 2018

An even function f(x) has the following properties.This means that when we replace x by -x, then there is no change in the original function. In other words, the graph of the function of mirror image about the y axis.Therefore, of the options, option C is the correct option.Therefore, the correct statement should beIt has line symmetry about the y-axis


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