The graph models the function f(x) = 2(1/2)x. what is the domain and range of the function? a-domain: x < 0; range: y > 0 b-domain: x > 0; range: all real numbers c-domain: all real numbers; range: y > 0 d-domain: all real numbers; range: y ≥ 0 explain with the answer

Hello!

Given the function, , notice that the function f(x) is an exponential function.

All exponential functions have a horizontal asymptote at y = 0, and this means that the graph never goes over the line y = 0. Therefore, the range is less than zero, but never equal to zero.

Also, this means that the domain of the function f(x) is all real numbers because as we substitute positive x-values into the function, the graph goes closer to zero, but never across zero. But, if we substitute negative x-values into the equation, it goes to infinity.

Therefore, the answer is choice C. The domain of f(x) is all real numbers, and the range is y > 0.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

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