Domain: (-∞, ∞)
Range: (1, ∞)
1) Considering this exponential function y = 4(2)^x+1 we can plot that:
Setting a table:
x|y
0 5
-1 3
1 9
2) So as we can see there's no restriction, undefinition for that function.
Hence, the Domain is
D =(-∞, ∞) Any x value is defined within the Real Set
And for the Range, it is defined for R = (1, ∞)