Final answer:
The domain for the piecewise function in interval notation is (−∞,−4] ∪ [−4,∞). The correct answer is a. (−[infinity],−4).
Step-by-step explanation:
The domain for the piecewise function in interval notation is (−∞,−4] ∪ [−4,∞).
When x < -4, the function is defined as x + 3 - 2x - 4.
When x ≥ -4, the function is undefined.
Therefore, the correct answer is (−∞,−4] ∪ [−4,∞).
In mathematics, a function is a relationship between a set of inputs (called the domain) and a set of possible outputs (called the range), where each input is related to exactly one output.
Functions are typically denoted as
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(
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f(x) or
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=
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(
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y=f(x), where
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x represents the input value and
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y represents the output value.
For every valid input
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x in the domain of the function, there corresponds exactly one output
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y in the range. This means that a function can't have multiple outputs for the same input.