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True or false?

The domain of the function F(x)=(1/2)^x is the set of all real numbers greater than one.

FALSE

The domain is all of the values of x that can be put in.

Since x is used as what to take a value to, it can be any number.

Some examples:

F(3) = (1/2)^3 = 1/8,

F(-2) = (1/2)^-2 = 2^2 = 4,

F(0) = (1/2)^0 = 1,

F(1/2) = (1/2)^(1/2) = 1/squareroot(2), and

F(-30) = (1/2)^-30 = 2^30 = 1,073,741,824.

I don't believe you're working with imaginary numbers yet ...

As can be seen, anything can be put in for x.

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