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Question: Which of the following graphs of different functions is increasing on the interval [- 4, 0] ?
A ) Graph-A
B ) Graph-B
C ) Graph-C
D ) None of the above
Steps to derive
1 Graph-A: As x is increasing from - 4 to 0, the value of f(x) is decreasing. Hence, the corresponding function is decreasing on [- 4, 0].
2 Graph-B: As x is increasing from - 4 to 0, the value of f (x) is increasing. Hence, the corresponding function is increasing on [- 4, 0].
3 Graph-C: As x is increasing from - 4 to 0, the value of f (x) is not changing. Hence, the corresponding function is a constant function on [- 4, 0].
Hence the right answer is Option B
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