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Identify the Domain and Range for the following function:  f(x) = -2x + 5

Question

Identify the Domain and Range for the following function:  f(x) = -2x + 5

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Solution

The domain of a function is the set of all possible input values (often the "x" variable), which produce a valid output from a particular function. The range of a function is the set of all possible output values (usually the "y" variable), which result from using the function formula.

For the function f(x) = -2x + 5, the domain is all real numbers because you can substitute any real number for x and the function will still work.

The range is also all real numbers because the function can produce any real number depending on the value of x. For example, if x is a very large positive number, then -2x + 5 will be a very large negative number. Conversely, if x is a very large negative number, then -2x + 5 will be a very large positive number.

So, the domain and range for the function f(x) = -2x + 5 are both all real numbers.

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