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

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tramserran tramserran · Answer 1 · 2019-02-25T11:31:31+01:00

Answer: 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

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aquialaska aquialaska · Answer 2 · 2019-05-14T07:44:40+02:00

Answer:

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

Step-by-step explanation:

Given Logarithmic Function, [tex]F(x)=log\,0.5^x[/tex]

First we simply the function,

[tex]F(x)=log\,0.5^x[/tex]

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