The cubic function is [tex] f(x)=x^3-x^2-10x-8 [/tex]
Find the point at x=0,
Replace the variable x with 0 in f(x),
[tex] f(0)=0^3-0^2-10(0)-8=-8 [/tex]
Find the point at x=1,
Replace the variable x with 1 in f(x),
[tex] f(1)=1^3-1^2-10(1)-8=1-1-10-8=-18 \\ y=-18 [/tex]
Find the point at x=-1,
Replace the variable x with -1 in f(x):
[tex] f(-1)=(-1)^3-(-1)^2-10(-1)-8\\ =-1-1+10-8=0\\ y=0 [/tex]
Find the point at x=3,
REplace the variable x with 3 in f(x):
[tex] f(3)=3^3-3^2-10*3-8=-20 [/tex]
Similarly find few more points of this function:
f(-2)=0
f(2)=-24
f(5)=42
Now the cubic function [tex] f(x)=x^3-x^2-10x-8 [/tex] using the following points
x: -5 -1 0 1 2 3 5
y: - 108 0 -8 -18 -24 -20 42
Using this points now graph the function,
