Question

Which is the graph of f(x) =4(1/2)^x

Answer 1

The graph in the attached figure

Explanation:

we have

`f(x)=4((1)/(2))^(x)`

This is a exponential function of the form

`y=a(b)^(x)`

where

a is the initial value

b is the base

r is the rate

b=1+r

In this problem we have

a=4 ----> initial value (y-intercept)

b=1/2

so

1+r=1/2

r=1/2-1=-1/2

r=-0.5=-50% ----> is negative because is a decrease rate

using a graphing tool

The graph in the attached figure