Sketch a graph of a rational function that satisfies the following conditions: (4 marks) f(0)=0,f(4)=-6,f(6)=-9 f^(')(0)=f^(')(6)=0 f^(')(x)

Question

Sketch a graph of a rational function that satisfies the following conditions: (4 marks)

f(0)=0,f(4)=-6,f(6)=-9
f^(')(0)=f^(')(6)=0
f^(')(x)<0 for x<0 and 00 for x>6
f^('')(0)=f^('')(4)=0
f^('')(x)<0 for 00 for x<0 and x>4

Points

,(0,0),(4,-6),(6,-9)

Concavity: Concave up for

x<0

and

x>4

concave doun for

x<6x>6(0,0)(4,-6)0
Incldec: Decrease in x<6
increase in x>6
inflection Points: (0,0)(4,-6)

Accepted Answer

Expert Answer to - Sketch a graph of a rational function that satisfies the following conditions: (4 marks) f(0)=0,f(4)

Answer

Solution for - Sketch a graph of a rational function that satisfies the following conditions: (4 marks) f(0)=0,f(4)

Answer

This an additional answer to - Sketch a graph of a rational function that satisfies the following conditions: (4 marks) f(0)=0,f(4)

(Solved): Sketch a graph of a rational function that satisfies the following conditions: (4 marks) f(0)=0,f(4) ...