Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
X
+
3
X
+
8

The function is

g(x) = 5^(-x)

This question can be easily solved by using a graphing calculator

and plotting the graph of g(x)

In the image below, we can see that for each value of x , there is a corresponding value for g(x)

This means that the function does not have any discontinuities. Therefore,

The domain of g(x) is all real numbers  (x ∈ R)

The range is related to the values that can be achieved by g(x),

Since it is a positive exponential function, all values will be g(x)>0

And the range would be (0,∞)