Answer :
Answer:
[tex][/tex] In the equation y = -3x - 6, x is the independent variable and y is the dependent variable. The domain of a function is the set of all possible input values (x-values), and the range is the set of all possible output values (y-values).
1. Domain:
Since x can take any real number as input in the equation y = -3x - 6, the domain is all real numbers. Therefore, the domain of this function is (-∞, ∞).
2. Range:
To find the range, we need to determine the possible values that y can take. In the equation y = -3x - 6, y depends on the values of x. As x varies, the value of y will also change accordingly.
As x ranges from -∞ to ∞, the coefficient of x (-3) indicates that y will decrease at a constant rate. The range of the function will be all real numbers because there is no limit to how high or low y can go when x varies across all real numbers.
Therefore, the range of the function y = -3x - 6 is also (-∞, ∞).
Answer: All real numbers for both
Step-by-step explanation: Since this is a linear function, it can take any real number as input. Therefore, the domain is all real numbers, which we can represent as ∞<x<∞.
To find the range, we need to consider how the function behaves as x varies. In this case, as x increases or decreases, y will also change accordingly since it's a linear function. As there is no restriction on the values y can take, the range is also all real numbers, represented as ∞<y<∞.
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