What is the domain and range for h(x)=6 - 4^x?

1 Answer
May 28, 2015

As for x there are no limitations.

So the domain is
-oo < x < +oo

As for the range :
As x gets larger (positive), the function gets more into the negative.
As x gets larger (negative), the 4^x-part will be nearer and nearer to 0, so the function as a whole will be nearing 6
In short:
-oo < h(x)<6
graph{6-4^x [-22.67, 28.65, -14.27, 11.4]}