### Answer to Question #100451 in Calculus for Sheshan Bhashitha

# Answer to Question #100451 in Calculus for Sheshan Bhashitha

**Category:
Answers>Math>Calculus **

5. Sketch the graph of f(x) = x − 3x 2/3 , indicating where the graph is increasing/decreasing, concave up/down, and any asymptotic behavior.

6. Draw the graph of f(x)= 3×4-6X3+3×2 by using the extreme points from differentiation.

5. x=0 or x=8 are the points at which the nature of the increase in function changes.If then is increasing, hence If then is decreasing, hence , for all , hence the function is concave upward.The function does not have asymptotes. 6. If then If then Thus, changes the sign from negative to positive at points and , hence and are points of relative minimum ; changes the sign from positive to negative at the point hence is a point of relative maximum.x min=0, x max = 0.5 ;x min = 1