      ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0<p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. Recall that $g_{Z}(p,q,x)=g_{Z}^-(p,q,x)$ on the left of the dashed line $x=\gamma(p,q)$, while $g_{Z}(p,q,x)=g_{Z}^+(p,q,x)$ on the right. Similarly $g_{W}(p,q,x)=f_{W}((0-q)p,x)$ on the left of the dashed line, while $g_{W}(p,q,x)=f_{W}(q+(0-q)p,x)$ on the right.[]{data-label="fig:0nd-pt"}](newfuns-p00-q00 "fig:"){width="0cm"} ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0<p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. Recall that $g_{Z}(p,q,x)=g_{Z}^-(p,q,x)$ on the left of the dashed line $x=\gamma(p,q)$, while $g_{Z}(p,q,x)=g_{Z}^+(p,q,x)$ on the right. Similarly $g_{W}(p,q,x)=f_{W}((0-q)p,x)$ on the left of the dashed line, while $g_{W}(p,q,x)=f_{W}(q+(0-q)p,x)$ on the right.[]{data-label="fig:0nd-pt"}](newfuns-p00-q000 "fig:"){width="0cm"}\     ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0<p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. Recall that $g_{Z}(p,q,x)=g_{Z}^-(p,q,x)$ on the left of the dashed line $x=\gamma(p,q)$, while $g_{Z}(p,q,x)=g_{Z}^+(p,q,x)$ on the right. Similarly $g_{W}(p,q,x)=f_{W}((0-q)p,x)$ on the left of the dashed line, while $g_{W}(p,q,x)=f_{W}(q+(0-q)p,x)$ on the right.[]{data-label="fig:0nd-pt"}](newfuns-p00-q000 "fig:"){width="0cm"} ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0<p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. Recall that $g_{Z}(p,q,x)=g_{Z}^-(p,q,x)$ on the left of the dashed line $x=\gamma(p,q)$, while $g_{Z}(p,q,x)=g_{Z}^+(p,q,x)$ on the right. Similarly $g_{W}(p,q,x)=f_{W}((0-q)p,x)$ on the left of the dashed line, while $g_{W}(p,q,x)=f_{W}(q+(0-q)p,x)$ on the right.[]{data-label="fig:0nd-pt"}](newfuns-p00-q000 "fig:"){width="0cm"}      ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0>p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. The dashed line lies at $x=\gamma(p,q)$.[]{data-label="fig:0st-pt"}](newfuns-p00-q00 "fig:"){width="0cm"} ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0>p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. The dashed line lies at $x=\gamma(p,q)$.[]{data-label="fig:0st-pt"}](newfuns-p00-q000 "fig:"){width="0cm"}\     ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0>p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. The dashed line lies at $x=\gamma(p,q)$.[]{data-label="fig:0st-pt"}](newfuns-p00-q000 "fig:"){width="0cm"} ![Plot of $g_{Z}(p,q,x)$ (blue) and $g_{W}(p,q,x)$ (orange) when $p=0.0>p_c$ and $q=0.0,0.00,0.00,0.00$, respectively. The dashed line lies at $x=\gamma(p,q)$.[]{data-label="fig:0st-pt"}](newfuns-p00-q000 "fig:"){width="0cm"}      