Consider the hat functions as shown below:

A general formula for the hat function around the integer N is given by:

(x) = {1 ? |x ?N | if | x?N| ? 1

{0 Otherwise

Write a MATLAB program that obtains x as the input from the user. Depending upon thevalue of x your program must figure out which function or functions are non-zero at thegiven x and output the function values. Your output must be in the format: Value of x: ??Function ?? is non-zero at x with value ??Function ?? is non-zero at x with value ??Note: If the given x is not an integer then there are two non-zero functions. You may use a combination of the round(), floor(), ceil() functions to determine the

interval to which x belongs.

n