Use the general definition and properties of Fourier transforms to show the following (a) If f(x) is periodic with period a then f(k)- 0, unless ka (b) The Fourier transform of tf(t) is idf(co)/do. (c) The Fourier transform of f(mt +c) is 2πη for integer n.

The bar graph to the right shows the average number of hours that people sleep per​ day, by age group. Use this information to complete parts a and   Consider a​ function, f, whose domain is the set of six ages shown. Let the range be the average number of hours that people sleep per day. Write the function as a set of ordered pairs. f= Write the relation that is the inverse of f as a set of ordered pairs. The relation is Based on these ordered​ pairs, is f a​ one-to-one function?   The function f is not a​ one-to-one function because the relation that is the inverse of is a function. B. The function f is a​ one-to-one function because the relation that is the inverse of f is a function. C. The function f is not a​ one-to-one function because the relation that is the inverse of f is not a function. D. The function f is a​ one-to-one function because the relation that is the inverse of f is not a function.

PART B: Analyze the table to determine if the relation is a function. Explain your answer. If the relation is a function, write the function rule. 3. y -3 4 -2 -1 6 7 Function: YES or NO Why? If yes, write the function rule 4. y 2 3 -1 4 -2 2 -3 Function: YES or NO Why? If yes, write the function rule

Please just type the answer from multiple choices thank you.