Answer the following with complete and full explanations.

$1)$ What is the overall effect of the Encrypt$()$ algorithm $/$ what effect does this algorithm

have on the alphabet?

Bonus: write the coded message.

$2)$ What are the domain and codomain of the function $()$ used in Encrypt$()?$ What is the

range? Explain.

$3)$ Is the function $()$ as defined in Encrypt$()1-1$ with regard to the coded alphabet?

Explain.

$4)$ Is the function $()$ as defined in Encrypt$()$onto$$ with regard to the coded alphabet??

Explain.