Sketch the following polynomial function using the fourstep

Sketch the following polynomial function using the four-step process. f(x) = - 1/3 x (x^2 - 36)^2 The left-hand behavior starts and the right-hand behavior ends. Find the y-intercept. The y-intercept is .

Solution

f(x)=-1/3x(x²-36)²

To find the y intercept we have to plug x =0

f(0)=-1/3*0(0-36)²=0

Therefore y intercept is (0,0)