$a)$

$w\left(-1\right)=2\cdot {\left(-1\right)}^3-{\left(-1\right)}^2+3\cdot \left(-1\right)+1=-2-1-3+1=-5$

$w\left(0\right)=2\cdot 0^3-0^2+3\cdot 0+1=1$

$w\left(1\right)=2\cdot 1^3-1^2+3\cdot 1+1=2-1+3+1=5$

$b)$

$w\left(-1\right)=-8\cdot {\left(-1\right)}^3+2\cdot {\left(-1\right)}^2-4\cdot \left(-1\right)-3=8+2+4-3=11$

$w\left(0\right)=-8\cdot 0^3+2\cdot 0^2-4\cdot 0-3=-3$

$w\left(1\right)=-8\cdot 1^3+2\cdot 1^2-4\cdot 1-3=-8+2-4-3=-13$

$c)$

$w\left(-1\right)=-2\cdot {\left(-1\right)}^4+6\cdot {\left(-1\right)}^2-7=-2+6-7=-3$

$w\left(0\right)=-2\cdot 0^4+6\cdot 0^2-7=-7$

$w\left(1\right)=-2\cdot 1^4+6\cdot 1^2-7=-2+6-7=-3$

$d)$

$w\left(-1\right)=0,125\cdot {\left(-1\right)}^4-{\left(-1\right)}^3+2,5\cdot \left(-1\right)+1,25=0,125+1-2,5+1,25=-0,125$

$w\left(0\right)=0,125\cdot 0^4-0^3+2,5\cdot 0+1,25=1,25$

$w\left(1\right)=0,125\cdot 1^4-1^3+2,5\cdot 1+1,25=0,125-1+2,5+1,25=2,875$