I'm trying to create a cubic function that has only one x-intercept of -5
and a y-intercept of around 10.
The y-intercept doesn't have to be exact.
Since is a zero of the cubic, is a factor.
Then the cubic is the product of and a quadratic.
The -intercept will be 10 if
Since is the only -intercept, the quadratic has no real roots.
. . That is: .
We have: .
And we have: .
. . . . . one of a brizillion possible cubics.