see attached
step-by-step explanation:
given the function as;
![f(x)=2x^3-7x^2+2x+3](/tex.php?f=f(x)=2x^3-7x^2+2x+3)
write the equation replacing f(x) with y
![y=2x^3-7x^2+2x+3](/tex.php?f=y=2x^3-7x^2+2x+3)
form and fill a table containing values of y with corresponding values of x
you can take a range for values of x as -3≤x≤3
solving for x=-3
![f(-3)=2*-3^3-7*-3^2+2*-3+3=2*-27-63+-6+3=-54-63-6+3y=-120](/tex.php?f=f(-3)=2*-3^3-7*-3^2+2*-3+3=2*-27-63+-6+3=-54-63-6+3y=-120)
for x=-2
![f(-2)=2*-2^3-7*-2^2+2*-2+3=2*-8-28+-4+3=-16-28-4+3=-45](/tex.php?f=f(-2)=2*-2^3-7*-2^2+2*-2+3=2*-8-28+-4+3=-16-28-4+3=-45)
repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3
plot the values of y against values of x and obtain the following graph