How do you find the domain and range of #f(x) = 3(1/2)^x#?
1 Answer
Dec 12, 2017
Domain:
Range:
Explanation:
We can first sketch the function to enable us to determine the domain and range:
graph{3*(1/2)^x [-9.16, 10.84, -2.12, 7.88]}
I am assuming you are aware of how to sketch this function
Now we can consider the domain:
The fucntion is defined for all values of
Now we can find the range:
We see that there is a asymptote at
But then