Question

Part C Now try this one. Write a description of the partitioned function using known function types, including transformations.

Answer 1

Following are the function description to the given question:

Explanation:

In the given-question, three functions are used, that can be defined as follows:

In function 1:

This function is also known as the modulus on the absolute value function, for example:

`f(x)=| x| \left \{ {{x , \ \ \ x>0} \atop {-x, \ \ \ \x<0 }} \right.`

In the given in the above graph, that is
`f(x) = -x , \ \ x<0`

In function 2:

In this function, It is an algebraic function that is
`y=x^2`

It is also a part of the quadratic polynomial function, and its value is
`y=x^2 , \ \ \ x> 0`

In function 3:

In this function, it is the cubic polynomial equation that's value is
`y=x^3`

In the graph its value is:

`y=-x^3\\\\and \\ \\\to y= f(x) \\\\ \to y=-f(x)\\`