Question

On a piece of paper graph f(x)=4^x. Then determine which answer matches the graph you drew

Answer 1

Answer:Graph B

Explanation:

Answer 2

ANSWER

See graph.


EXPLANATION

The given function is

`f(x) = {4}^(x) .`

This is an exponential function of the form,

`f(x) =a {b}^(kx)`

Since,

`k > \: 0`


the function is an exponential growth function.


Let us look for some few points on this curve.


When

`x = 0`

`f(0) = {4}^(0) .`



`f(0) = 1`

Hence the point

`(0,1)`
lies on this curve and it is the y-intercept.


When

`x = 1`



`f(1) = {4}^(1)`





`f(1) =4`




The point,

`(1,4)`
also lies on this curve. So the graph of this curve must go through this point.



Now as x-values approaches negative infinity the function approaches zero.


We can use this information to obtain the graph in the attachment.