Thread: Graph sketch

Given:


if

if


How can I sketch a graph of the function given these characteristics? How would it look and how can I prove this?

Originally Posted by AMaccy

Given:


if

if


How can I sketch a graph of the function given these characteristics? How would it look and how can I prove this?

the curve intersect the x-axis at two points (0,0) and (2,0) and you have f'(1) is a critical point because f'(1)=0
f is increasing in the interval x>1 and decreasing in the interval and the curve is concave up for all values of x



I think the curve is