Which answer represents the range of the logarithmic function given below?
f(x)=log0.5^x
a.) y is greater than or less than 0
b.) y< 0
c.) y> 0
d.) all real numbers

Option D is correct .i.e., All Real Number

Step-by-step explanation:

Given Logarithmic Function,

First we simply the function,

F(x) = x × log(0.5)

F(x) = -0.30103x  (by putting value of log(0.5) )

Its clear range of F(x) completely depends on value of x .i.e, Domain of Function

Domain of log function is real Numbers

⇒ Ranges is also the Real Numbers

Therefore, Option D is correct .i.e., All Real Number

  D) All real numbers

Step-by-step explanation:

F(x) = log (0.5)ˣ

There is no restriction on x, so there is no restriction on y,

therefore y is all real numbers

see attached graph for verification

i am unable to solve this problem

step-by-step explanation: