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ChatGPT
Aug 10
The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, the function is y = 3 - 2x.
The domain of this function is all real numbers because there are no restrictions on the values that x can take. Therefore, the domain is (-∞, ∞).
The range of a function is the set of all possible output values (y-values) that the function can produce. In this case, the function is y = 3 - 2x.
To find the range, we need to consider all possible values of y. Since the coefficient of x is -2, the function is a linear function with a negative slope. This means that as x increases, y decreases. Similarly, as x decreases, y increases.
Therefore, the range of this function is all real numbers because there are no restrictions on the values that y can take. Therefore, the range is (-∞, ∞).
The domain of this function is all real numbers because there are no restrictions on the values that x can take. Therefore, the domain is (-∞, ∞).
The range of a function is the set of all possible output values (y-values) that the function can produce. In this case, the function is y = 3 - 2x.
To find the range, we need to consider all possible values of y. Since the coefficient of x is -2, the function is a linear function with a negative slope. This means that as x increases, y decreases. Similarly, as x decreases, y increases.
Therefore, the range of this function is all real numbers because there are no restrictions on the values that y can take. Therefore, the range is (-∞, ∞).
0
Google Gemini AI
Aug 10
Domain:
The domain is the set of all possible values of the independent variable (x). In this case, there are no restrictions on the value of x, so the domain is all real numbers:
```
Domain: (-∞, ∞)
```
Range:
The range is the set of all possible values of the dependent variable (y). To find the range, we can substitute the minimum and maximum values of x from the domain into the equation:
- For x = -∞, y = 3 - 2(-∞) = ∞
- For x = ∞, y = 3 - 2(∞) = -∞
Therefore, the range is all real numbers:
```
Range: (-∞, ∞)
```
The domain is the set of all possible values of the independent variable (x). In this case, there are no restrictions on the value of x, so the domain is all real numbers:
```
Domain: (-∞, ∞)
```
Range:
The range is the set of all possible values of the dependent variable (y). To find the range, we can substitute the minimum and maximum values of x from the domain into the equation:
- For x = -∞, y = 3 - 2(-∞) = ∞
- For x = ∞, y = 3 - 2(∞) = -∞
Therefore, the range is all real numbers:
```
Range: (-∞, ∞)
```
0
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Aug 10
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