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Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.
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The function is called the signum function, or sign(x). It is equal to abs(x)/x
Both the function "cos x" and the function "sin x" have a maximum value of 1, and a minimum value of -1.