Mark the correct alternative in the following: If the function f(x) = 2x 2 – kx + 5 is increasing on [1, 2], then k lies in the interval.

Question

Philoid · Accepted Answer

Formula:- 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)

f(x) = 2x² – kx + 5

f^’(x)>0

4x-k>0

K<4x

For x=1

K<4

Mark the correct alternative in the following:If the function f(x) = 2x2 – kx + 5 is increasing on [1, 2], then k lies in the interval.

Mark the correct alternative in the following:
If the function f(x) = 2x² – kx + 5 is increasing on [1, 2], then k lies in the interval.