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17. Increasing and Decreasing Functions
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Q22 of 105 Page 17

Mark the correct alternative in the following:

The function is


Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly increasing on (a, b) is that f’(x)>0 for all x(a,b)



For x>0



For x<0



Both are increasing for f’(x)>0

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20

Mark the correct alternative in the following:

In the interval (1, 2), function f(x) = 2|x – 1|+3 |x – 2| is


21

Mark the correct alternative in the following:

If the function f(x) = cos|x| – 2ax + b increases along the entire number scale, then


23

Mark the correct alternative in the following:

The function is increasing, if


24

Mark the correct alternative in the following:

Function f(x) = ax is increasing or R, if


Questions · 105
17. Increasing and Decreasing Functions
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