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 = x^3 - 9x

x-intercept means the points where the graph intersect x-axis(i.e. y = 0)

y-intercept means the points where the graph intersect y-axis(i.e. x =0)

from the graph

the graph intersect x-axis at \"-3\", \"0\" and \"3\"

so the x-intercept points are (-3,0) , (0,0) and (3,0)

y-axis intercept

the graph passes through origin

y-intercept (0,0)