Let and be defined for

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

Problem

Let

f(x)=\ln(x+2)

and

g(x)=mx

be defined for

x\in[-1,1]

, where

m

is a real parameter. Determine all real values of

m

for which

f

and

g

are guaranteed to have at least one point of intersection in the interval

[-1,1]