Graphically estimate the x and y intercepts of the graph y

Graphically estimate the x- and y- intercepts of the graph: y = x3 - 9x

Solution

y = x³ - 9x

for x intercept , y=0

x³ - 9x =0

x(x² - 9)=0

x(x - 3)(x+3)=0

x=0,(x - 3)=0,(x+3)=0

x=0,x=3,x=-3

x intercepts are (x,y)=(-3,0),(0,0),(3,0)

for y intercept , x=0

y =0³ - 9*0

y=0

y intercept is (x,y)=(0,0)