Cubic Function
Amber Muckenfuss
→ y = a(x − h)^3 + k ←
Function Form:
Any function in the form shown in the picture above is referred to as a cubic function.
Graphing a cubic function:
Changing the value of
A: changes the steepness of "s" curve, wider or skinnier.
B: alters the curve of the graph.
C: changes the slope.
D: moves the graph up and down, the y-intercept.
→K: up or down.
H: right or left.
A:< 0, the graph is flipped.
Try out altering the A, B, C, D values and what happens to the graph, yourself by clicking the link below!
http://www.mathopenref.com/common/appletframe.html?applet=cubicexplorer&wid=650&ht=480
Domain & Range:
Because the graph of a cubic function extends down and up forever and to the left and right forever, the domain and range for any cubic function are always all real numbers.