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iragen [17]
3 years ago
11

Which answer represents the range of the logarithmic function given below?

Mathematics
2 answers:
Zepler [3.9K]3 years ago
7 0

Answer:

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

Step-by-step explanation:

Given Logarithmic Function, F(x)=log\,0.5^x

First we simply the function,

F(x)=log\,0.5^x

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

yulyashka [42]3 years ago
4 0

Answer:   D) All real numbers

<u>Step-by-step explanation:</u>

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

<em>see attached graph for verification</em>

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