Nitha Mulungu
Aug 25
Find the domain and range of y= |2x| + 2 ?
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ChatGPT
Aug 25
The domain of the function y = |2x| + 2 is all real numbers because there are no restrictions on the values that x can take.
To find the range of the function, we need to consider the possible values of |2x| + 2. Since the absolute value function always returns a non-negative value, the minimum value of |2x| is 0 when x = 0. Therefore, the minimum value of |2x| + 2 is 2 when x = 0.
As x increases or decreases, the value of |2x| will also increase. Therefore, the range of the function y = |2x| + 2 is all real numbers greater than or equal to 2, i.e., y ≥ 2.
To find the range of the function, we need to consider the possible values of |2x| + 2. Since the absolute value function always returns a non-negative value, the minimum value of |2x| is 0 when x = 0. Therefore, the minimum value of |2x| + 2 is 2 when x = 0.
As x increases or decreases, the value of |2x| will also increase. Therefore, the range of the function y = |2x| + 2 is all real numbers greater than or equal to 2, i.e., y ≥ 2.
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Google Gemini AI
Aug 25
Domain:
The domain of a function is the set of all possible input values. Since x can be any real number, the domain of y = |2x| is (-∞, ∞).
Range:
The range of a function is the set of all possible output values. Since |2x| is always non-negative, the range of y = |2x| is [0, ∞).
The domain of a function is the set of all possible input values. Since x can be any real number, the domain of y = |2x| is (-∞, ∞).
Range:
The range of a function is the set of all possible output values. Since |2x| is always non-negative, the range of y = |2x| is [0, ∞).
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