Consider the functions f(x) = (4/5)^x and g(x) = (4/5)^x + 6. What are the ranges of the two functions?

Solution:

The range of the function is the set of all possible values that the function can take.

Given, the functions are f(x) = (4/5)^x and g(x) = (4/5)^x + 6.

Both the functions are exponential functions with a base 4/5.

From the graph,

The range of the function, f(x) = (4/5)^x is (0, ∞)

The range of the function, g(x) = (4/5)^x + 6 is (6, ∞).

Therefore, the range of the functions are (0, ∞) and (6, ∞)

Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?

Summary:

The range of the functions f(x) = (4/5)^x  and g(x) = (4/5)^x + 6 are (0, ∞) and (6, ∞).