Group Activity Sketch (freehand) a graph of a function with domain all real numbers…

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

79. Group Activity Sketch (freehand) a graph of a function

f

with domain all real numbers that satisfies all of the following conditions: (a)

f

is continuous for all

x

; (b)

f

is increasing on

(-infty, 0]

and on

[3,5]

; (c)

f

is decreasing on

[0,3]

and on

[5, infty)

; (d)

f(0)=f(5)=2

; (e)

f(3)=0