Yes, initially, finding the intercepts can be hard, depending on the function. However, it can be explained that the intercepts is where the opposite point is equal to 0. The y-intercept is found when the input or x value of the function is 0; Similarly, the x intercept is found when the output or y value is 0.
for instance in a linear equation:
y=2x+6
X int:
0=2x+6
-6=2x
-3=x
x=-3 or (-3,0)
Y int:
y=2(0)+6
y=6
