Graphing Cubic Function
To graph a cubic function {f(x) = ax3 – bx2 + cx + d} follow the steps added below:
Step 1: Find x-intercept(s)
Step 2: Find y-intercept
Step 3: Find critical point(s) by setting f'(x) = 0
Step 4: Find the corresponding y-coordinate(s) of the critical points.
Step 5: Find end behavior of the function.
Step 6: Plot all the points obtained, and trace the required cubic function.
Cubic Function
A cubic function is a polynomial function of degree 3 and is represented as f(x) = ax3 + bx2 + cx + d, where a, b, c, and d are real numbers and a ≠ 0. Cubic functions have one or three real roots and always have at least one real root. The basic cubic function is f(x) = x3
Let’s learn more about the Cubic function, its domain and range, asymptotes, intercepts, critical and inflection points, and others along with some detailed examples in this article.
Table of Content
- What is Cubic Function?
- Roots of Cubic Function
- Intercepts of a Cubic Function
- Graph of Cubic Function
- Characteristics of Cubic Function
- Inverse of Cubic Function
- Extrema of Cubic Function
- End Behavior of Cube Function
- Graphing Cubic Function
- Cubic Function Vs Quadratic Function
- Examples on Cubic Functions
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