Question

Write the equation for the graph. Then select the family of functions it belongs to.

Answer 1

As shown in the graph:

The given function is a cubic function

The general form of the function is:

`f(x)=\pm(x-h)^3+k`

As the function goes up while x go to infinity

So, the sign will be ( - )

And the midpoint of the curve will be at the point ( h , k ) = ( 3 , - 2)

so, the equation of the curve is:

`f(x)=-(x-3)^3-2`

And it is belongs to Cubic