Domain & Range of f: 0 ≤ x ≤ 6, 0 < f(x) < 4

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The discussion centers on the domain and range of the function f, specifically for the interval 0 ≤ x ≤ 6. The correct range is established as 0 < f(x) < 4, indicating that the values 0 and 4 are not included. This conclusion arises from the interpretation of the function's behavior at the endpoints of the defined interval, where f(0) and f(6) do not yield inclusive values of 0 and 4, respectively. Participants confirm this interpretation, emphasizing the importance of understanding the notation used in mathematical functions.

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The question is from http://www.xtremepapers.com/CIE/International%20A%20And%20AS%20Level/9709%20-%20Mathematics/9709_w10_qp_13.pdf

question no. 7 (i). I think it should be more than easy for a functions fanatic( or someone who does math regularly for that matter) to get the right answer, but as one can clearly see I can't.
The answer says 0 < f(x) < 4. But I am getting 0 ≤ f(x) ≤ 4. Why are 0 and 4 not inclusive?
Because it clearly says in the question X CAN take up 0 and 6, for which the corresponding Y value should be 0 and 4 respectively.
 
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hi mutineer123! :wink:
mutineer123 said:
The answer says 0 < f(x) < 4. But I am getting 0 ≤ f(x) ≤ 4. Why are 0 and 4 not inclusive?
Because it clearly says in the question X CAN take up 0 and 6, for which the corresponding Y value should be 0 and 4 respectively.

your answer looks right to me :smile:
 

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