Question

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

Answer 1

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

Answer 2

Answer:

The statement is false

B is correct

Step-by-step 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