(a) Determine formulas for the even extension of any f(x). Compare to the formula fo...

(a) Determine formulas for the even extension of any f(x). Compare to the formula for the even part of f(x).

(b) Do the same for the odd extension of f(x) and the odd part of f(x).

(c) Calculate and sketch the four functions of parts (a) and (b) if

Graphically add the even and odd parts of f(x). What occurs? Similarly, add the even and odd extensions. What occurs then?