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Find domain and range.

 

Find the domain and range of the function f(x) = 2(2 - 3x).

 Feb 12, 2023
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The domain of the function f(x) = 2(2 - 3x) is the set of all real numbers.

The range of the function is the set of all real numbers that result from plugging in values of x into the expression 2(2 - 3x). To find the range, we can substitute some test values of x into the expression and observe the values of the function. For example, when x = 0, we get f(0) = 2(2 - 3 * 0) = 2(2) = 4. When x = 1, we get f(1) = 2(2 - 3 * 1) = 2( -1) = -2.

From these test values, we can see that the range of the function includes both positive and negative real numbers, but not the value of 0. So the range of the function is the set of all non-zero real numbers.

Therefore, the domain of the function is all real numbers, and the range is the set of all non-zero real numbers.

 Feb 12, 2023

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