Question

Which of the following points is on the graph of….

Answer 1

we have the equation

$y=\log_{\frac{1}{2}}x$

Remember that

If an ordered pair is on the graph of the given function, then the ordered pair must satisfy the given function

Verify each option

N 1

(0,1)

x=0, y=1

Is not true, because the log of zero is undefined

N 2

(1,1/2)

x=1, y=1/2

Is not true, because the log of 1 is zero

N 3

(1/2,1)

$y=\operatorname{\log}_{\frac{1}{2}}\frac{1}{2}=1$

Is true

therefore

The answer is (1/2,1)