Question

What function is increasing?

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

Answer 1

`y=a^x`

The function is increasing if a > 0.

The function is decreasing if 0 < a < 1.

Therefore your answer is

`A.\ f(x)=6^x`

`6^x\to a=6 > 1\\(0.6)^x\to a=0.6 < 1\\\left((1)/(60)\right)^x\to a=(1)/(60) < 1\\\\\left((1)/(6)\right)^x\to a=(1)/(6) < 1`