The graph of is a continuous piecewise-linear function that intersects the -axis at and

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The graph of

f'(x)

is a continuous piecewise-linear function that intersects the

x

-axis at

x=-1

and

x=4

. It lies below the

x

-axis for

x<-1

, above the

x

-axis for

-1<x<4

, and below the

x

-axis for

x>4

. Which value of

x

is a location of a relative maximum of

f

? (a)

x=4.5

(b)

x=-1

(c)

x=4

(d)

x=1.5