Let f(x)= y = x3 - 6x2 + 11x - 6 X intercept means a point on the graph which intercepts the x axis And Y-intercept mean a point on the graph which intercepts the y axis Meaning at the x intercept the component of y is zero because there is no y on the x axis
And at the y intercept the x component of the coordinate is zero because on the y axis there is no x value So in finding the y intercept of the graph wherever u see x place zero there (ie x= 0 on the y axis) So with x = 0 y = (0)3- 6(0)2 + 11(0) - 6 y = -6
Therefore the y intercept is (0,-6) in coordinate form or -6
X-intercept y = x3 - 6x2 + 11x - 6 After factorization and simplification y = (x-1)(x-2)(x-3) On the x axis y= 0 0= (x-1)(x-2)(x-3) Either x-1=0 x=1 (1,0) Or x-2=0 x=2 (2,0) Or x-3=0 x=3 (3,0) Therefore the x intercepts are 1,2 and 3 And they are expressed in coordinate form as (1,0) ,(2,0) and (3,0)
