$g(x)$ is increasing on the interval $(-∞,∞)$
Work Step by Step
For any $x_2\gt x_1$ in interval $(-∞,∞)$, $f(x_2)\gt f(x_1)$ $f(1)=1\gt f(0)=0$ $f(0)=0\gt f(-4)=-4$ $f(2)=2\gt f(-5)=-5$ $f(100)=100\gt f(-100)=-100$
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