Problem

Use the displayed graph on \([-2,~2]\) to determine the subintervals where \(f\) is greater, the subintervals where \(g\) is greater, and the inputs where the functions are equal.

Source comparison representation containing the stated values or crossings without a conclusion.

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f is greater on (-1,1), the functions are equal at x = -1 and x = 1, and g is greater on [-2,-1) and (1,2].

g is greater on (-1,1), the functions are equal at x = -1 and x = 1, and f is greater on [-2,-1) and (1,2] because the comparison is reversed around the crossings.

f is greater on all of [-2,2] because it is above g between x = -1 and x = 1, so it must be the greater function for the whole interval.

f is greater on [-1,1] and g is greater on [-2,-1) and (1,2] because the crossing points belong with the interval where f is above most of the time.

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Use the displayed graph on \([-2,~2]\) to determine the subintervals where \(f\) is greater, the subintervals where \(g\) is greater, and the inputs where the functions are equal.

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