Consider the general forms of the function types. Find a pattern between the function forms and which differences are constant.
Cubic
Practice makes perfect
Let's consider the general forms of the function types we have studied so far.
Linear Function
Quadratic Function
Exponential Function
Form
y=mx+b
y=ax^2+bx+c
y=ab^x
Property
Constant First Differences
Constant Second Differences
Constant Ratios
Let's focus on the linear and quadratic functions. We know that they are also polynomial functions and their degrees are 1 and 2, respectively. Hence, we can claim that a polynomial function with a degree 3, namely a cubic function, has a constant third differences.
