Intercepts are important for understanding how graphs change:

1. X-intercepts:

   • These are the points where the graph crosses the x-axis (this means where y equals 0).
   • You find them by solving the equation (f(x) = 0).
   • X-intercepts show the real solutions to the equation.

2. Y-intercepts:

   • This is the point where the graph crosses the y-axis (this means where x equals 0).
   • You can find it by calculating (f(0)).
   • The y-intercept tells you the value of the function when the input is zero.

In short, intercepts help us understand how the graph changes and what its general shape looks like.