Question

The function F(x) = log0.5 x is increasing. The answer is B. False. Just finished taking the quiz I had guessed.

A. True
B. False

Answer 1

False on Apex, I need 20 characters to finish the answer.

Answer 2

The statement is false

B is correct

Explanation:

Given:
`f(x)=\log_(0.5)x`

Increasing function.

Log function:

`y=\log_ax`

If 0<a<1 then y is decreasing function.

If a>1 then y is increasing function.

Now, we compare the given function

`\log_ax\rightarrow \log_(0.5)x`

a=0.5

0.5<1

If 0<a<1 then y is decreasing function.

Therefore, f(x) is decreasing. But we are given f(x) is increasing.

Hence, The statement is false