For the graph below, which of the following is a possible function for f?

The function is perhaps a function of the form , .

The procedure of solution is described below:

1) Description of key characteristics of the Function (Points, Behavior, Asymptotes, Zeros, Poles).

2) Determination of the type of Function based on the finding from previous step.

Step 1:

Function is characterized by its Monotony and crescent Behavior and a range represented by the set of all positive values of . In addition, and

It is to notice that Function is continuous and differentiable for every value of .

Step 2:

Given all these characteristics, we can deduce the following function, which has all the characteristics described in previous step:

,

The function is most probable an expression of the form , .

For further details, please see the following link to a related question:

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1