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The graph of the step function g(x) = 4x + 3 is shown. What is the domain of g(x)?

a) x is a real number
b) x
c) x
d) x

User Charas
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1 Answer

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Final answer:

The domain of the step function g(x) = 4x + 3 is likely to be x is an integer, as step functions are typically defined at discrete points, such as integers.

Step-by-step explanation:

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined. The graph of the step function g(x) = 4x + 3 suggests that it takes on values at certain specific points, commonly integers in the case of a step function. However, without an explicit restriction given in the question or a graphic representation to refer to, the typical domain of a linear function in the form of ax + b, where a and b are constants, would be all real numbers. If the given function g(x) is indeed a step function without further restrictions, the correct domain should be x is an integer, since step functions are defined at discrete points. Therefore, without additional context or a visual graph, the most likely answer would be option b) x is an integer.

User Jorge Ribeiro
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