Question

Which function is increasing?

A. f(x)=(1/6)
B.f(x) = (0.6).
C. f(x)=(1/60)
D. f(x)=6

Answer 1

Option D

Explanation:

The reason why it is D is because if it was something below 1, such as 0.6, it would be decreasing. That is why 6 is the answer.

Answer 2

Option D. f(x) = 6^x

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.