Let be a continuous function on with and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

h

be a continuous function on

[0,3]

with

h(0)=-2

and

h(3)=6

. For which of the following values of

k

is it guaranteed that the equation

h(x)=k

has at least one solution in the interval

(0,3)

? (a)

k=-2

(b)

k=0

(c)

k=6

(d)

k=8