Question

Let f(x)=(x^(3))/(3)+1. Describe how it is the transformation of a toolkit function.

Answer 1

The function f(x) = (x^3)/3 + 1 is a transformation of the cube function, f(x) = x^3. It shifts the graph upward by 1 unit and compresses it vertically by a factor of 3.

Step-by-step explanation:

The function f(x) = (x^3)/3 + 1 can be described as a transformation of a toolkit function. The toolkit function in this case is f(x) = x^3, which represents the cube function. The given function adds 1 to the output of the cube function and divides it by 3. This shifts the graph of the cube function upward by 1 unit and compresses it vertically by a factor of 3.