Respuesta :

Answer:

[tex]h(x)=5^x[/tex]

Step-by-step explanation:

All the graphs are growing bigger and bigger as x-values grows bigger.

This implies that the graphs represent exponential growth.

Hence their equation is in the form;

[tex]y=a^x[/tex]

The bigger the value of 'a' the faster the graph grows

We can see that h, grew faster than all the other graphs, hence 'a' should be the largest value, which is 5.

Therefore the function is :

[tex]h(x)=5^x[/tex]

Answer:

Correct choice is function  [tex]h(x)=5^x[/tex]

Step-by-step explanation:

We have been given a graph of three functions f, g and h.

Now we need to find the best matching equation for the function h(x).

From graph we can see that all of the curves are increasing must faster as the move from left side to right side. That indicates they are exponential functions.

We know that if base is larger then graph will move upward much faster.

largest base from available bases is 5.

So the correct function is [tex]h(x)=5^x[/tex]