Question

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

Answer 1

The function $f$ is perhaps a function of the form $f(x) = a^{r\cdot x}$, $\forall \,x\in \mathbb{R}$.

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 $f$ is characterized by its Monotony and crescent Behavior and a range represented by the set of all positive values of $y$. In addition, $\lim_{x \to -\infty} f(x) = 0$ and $\lim_{x \to +\infty} f(x) = N.E.$

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

Step 2:

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

$f(x) = a^{r\cdot x}$, $\forall \,x\in \mathbb{R}$

The function $f$ is most probable an expression of the form $f(x) = a^{r\cdot x}$, $\forall \,x\in \mathbb{R}$.

For further details, please see the following link to a related question: https://brainly.com/question/3651013