What is the domain of 2x?
Understand the Problem
The question is asking for the mathematical concept of the domain for the function defined as 2x. The domain refers to the set of all possible input values (x) for which the function is defined.
Answer
The domain is $(-\infty, \infty)$.
Answer for screen readers
The domain of the function $f(x) = 2x$ is $(-\infty, \infty)$.
Steps to Solve
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Identify the function We start with the function defined as $f(x) = 2x$.
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Determine the input values Next, we analyze the type of function we are dealing with. The function $f(x) = 2x$ is a linear function.
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Identify restrictions on input values Linear functions do not have any restrictions on the values of $x$. This means that any real number can be substituted for $x$.
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State the domain As a result, the domain of the function $f(x) = 2x$ is all real numbers. In interval notation, this can be represented as $(-\infty, \infty)$.
The domain of the function $f(x) = 2x$ is $(-\infty, \infty)$.
More Information
In mathematics, the domain is crucial for understanding the behavior and limitations of a function. Since $f(x) = 2x$ is a simple linear function, it can take any real number as an input, making its domain very broad.
Tips
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