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Some Basic Algebraic Functions: Cubic function



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?


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


Project Coordinator and LibGuide developer

 Mina Sedaghatjou










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