Mark the correct alternative in the following: If the function f(x) = x 2 – kx + 5 is increasing on [2, 4], then

Question

Philoid · Accepted Answer

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)

Given:-

f(x) = x² – kx + 5

For increasing function f’(x)>o

2x-k>0

K<2x

Putting x=2

K<4

kϵ (–∞, 4)

Mark the correct alternative in the following:If the function f(x) = x2 – kx + 5 is increasing on [2, 4], then

Mark the correct alternative in the following:
If the function f(x) = x² – kx + 5 is increasing on [2, 4], then