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What is the Domain and Range of y = -22 +4 - 3?

Domain:
Range:
a) (−[infinity],0)
b) (0,[infinity])
c) (−3,0)
d) (0,0)
e) (−[infinity],−3)

User Dan Story
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1 Answer

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Final answer:

Domain: The domain of the given function y = -22 + 4 - 3 is the set of all real numbers since there are no restrictions on the input values x.

Range: The range of the function y = -22 + 4 - 3 is {−21}, represented as a single value, as the expression simplifies to a constant.

Step-by-step explanation:

The domain of a function refers to the set of all possible input values (x) that the function can take. In the given function y = -22 + 4 - 3, there are no restrictions or limitations on the input values x. Thus, the domain includes all real numbers, indicated by the symbol (-∞, ∞).

Regarding the range of the function, it's important to simplify the expression to understand the possible output values (y). Simplifying the given function, y = -22 + 4 - 3 results in y = -21. This simplification reduces the entire expression to a constant, which means that no matter what the input is, the output will always be -21. Therefore, the range of the function is {−21}, representing a single value.

In summary, the domain consists of all real numbers (-∞, ∞) since there are no restrictions on the input values. Meanwhile, the range of the function is a single value, {-21}, as the expression simplifies to a constant output of -21, independent of the input. Therefore, the correct answer is not specifically listed among the options provided, but the closest match would be "e) (−[infinity],−3)" if -21 were erroneously replaced with -3 in the options.

User VnoitKumar
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