The smooth curve of the function image is a curve, so don't draw it as a broken line.

Can be moderately increased,

Then list the corresponding numerical table, tracing points and connecting lines.

Others:

First, it can be judged that the function is odd, even,

Does it have monotonicity, periodicity, extreme points and inflection points? ....

Therefore, the smooth curve of the function image can be drawn according to the above properties.

For example:

If the function is odd function, and its image is symmetrical about the origin, then it is only necessary to draw the image of the function in a certain quadrant, and then draw the image of the function with symmetry, which can save half the workload.