Answer:
Option D. f(x) = 6^x
Step-by-step explanation:
To know which of the function is increasing, let us obtain f(1) and f(2) for each function.
This is illustrated below:
f(x) = (1/6)^x
f(1) = (1/6)¹ = 1/6
f(2) = (1/6)² = 1/36
Therefore, f(x) = (1/6)^x is decreasing.
f(x) = (0.6)^x
f(1) = (0.6)¹ = 0.6
f(2) = (0.6)² = 0.36
Therefore, f(x) = (0.6)^x is decreasing.
f(x) = (1/60)^x
f(1) = (1/60)¹ = 1/60
f(2) = (1/60)² = 1/3600
Therefore, f(x) = (1/60)^x is decreasing.
f(x) = 6^x
f(1) = 6¹ = 6
f(2) = 6² = 36
Therefore, f(x) = 6^x is increasing.
