Skip to main content

Some Basic Algebraic Functions: Cubic function

Definition

 

cubic function has the standard form of f(x) = ax3 + bx2 + cx + d. The "basic" cubic function is f(x) = x3. You can see it in the graph below. In a cubic function, the highest power over the x variable(s) is 3. 

The coefficient "a" functions to make the graph "wider" or "skinnier", or to reflect it (if negative): The constant "d" in the equation is the y-intercept of the graph.

Exercise A: 

In the interactive graph below, graph cubic functions using the included table of values. For the given function and x values, calculate y values and explore how the graph looks. Press the "new problem" button for a new function. 

By Samantha Cruz.

 

 
Manipulate the sliders to change the values of a, h and k  for  y= a ( x-h )3 +k.  How do a, h and K change the shape of the function?

Credits

Created by peer tutors under the direction of Learning Centre faculty at Douglas College, British Columbia.

 

Project Coordinator and LibGuide developer

 Mina Sedaghatjou

 

 

 

 

 

 

 

 

 

Fun collection of Math clips

Fun collection of Math in movies:

Mathematics in Movies