A function is defined by for

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A function

w

is defined by

\displaystyle w(x)=\sqrt{4x+3}

for

x<4,

and by the following numerical values for

x>4

x	4.100	4.050	4.010	4.001
w(x)	4.368	4.362	4.359	4.359

Determine the value of

w(4)

that will make

w

continuous at

x=4

, and explain your reasoning.