Exercises - Basic Properties of Functions

Here you will find problems on symmetry, periodicity, and continuity.

If you want to refer to sections of Methods Survey while working the exercises, you can click here and it will appear in a separate full-size window. Similarly, here we offer Theory.

 

Investigate symmetry of the following functions.

Prove that the following functions are periodic. What period can you find?

For each of the following functions, decide whether it can be defined at the indicated point to be continuous there.

Investigate continuity of the following functions.

For each the following functions, identify values of the parameters a and b that would make the function continuous.

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