Answer:
A
Explanation:
You want the domain and range of the exponential function y = 3(1/4)^x.
Domain
The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The function y = 3(1/4)^x is defined for all values of x:
-∞ < x < ∞
This is confirmed by the arrow that points up and to the left at the left end of the curve, indicating it extends to x → -∞, and by the arrow pointing to the right, indicating the function is defined for x → ∞.
Range
The range is the vertical extent of the graph, the set of y-values produced by the function. Any exponential function with a positive multiplier (3) and a positive base (1/4) will produce every value of y > 0. That is, the range is ...
0 < y < ∞
This is confirmed by the arrow pointing up to the left, indicating y → ∞. The arrow pointing to the right where the curve is along the x-axis is intended to show that the horizontal asymptote is y=0. That is, y is never 0, but approaches 0 with a difference as small as you like.