Respuesta :

ebioa
exponential function f (x) = a^x

Answer:

Step-by-step explanation:

Given is a graph

On observing the graph we find the following

The graph is increasing throughout its domain

Domain is the set of all real numbers.

Range is only (2,infty)

y is not defined for y <=2

Passes through (2,5)

No x intercept

y intercept is at one point between 2 and 3.

The graph looks like transformation of an exponential graph.

y = a^x+2 makes range and shape somewhat same.

When x=0, y=3 thus making y intercept also match.

Since passes through (2,5) we have

5 = a^2+2

Or a = sq rt 3

So graph is

y = 3^(x/2)+2