need help to answer all question with explanation

D Question 1 Fill in the correct numbers in the blanks. (Note: Both numbers should be integers.) The natural domain of the function f(x)=\\/352xx2 is the closed interval [ 1 pts D Question 2 A square with side length a is inscribed inside a circle. Denote by S the area of the region inside the circle, and outside the square (the shaded region in the diagram). How would you express S as a function of Cl ? O 5:7502 O 2 S (Jr2M _ 2 O 2 2 1 pts \fQuestion 3 1 pts If f(x) is an odd function, which of the following must be an even function? O 2. f (x) O x 2 + f (x ) O x + f (x) O x 2 . f (x ) O x . f(x)3 Question 4 1 pts Below are the graphs of four functions: f (X) 2f(x-1) f (2x2) and f (x+2) . They have been scrambled. Which must be the function f (X) D Question 5 1 pts Here is the graph of a function f (X) Give each of the following functions a correct label using the dropdown menus: Give each of the following functions a correct label using the dropdown menus: Question 6 1 pts Fill in the blanks with appropriate numbers. Suppose sin( x) = and is in the interval Then cos(x) = and tan (x) = (Your answers should be fractions in reduced/simplified form.)D Question 7 1 pts Suppose x is in the interval [0 , 7r] , and it is not in the domain of tan(x) . What is cos(2x) ? (Use decimal notation in your answer.) D Question 8 Consider f(x)=4 004%) What is f (601) ? Use decimal notation in your answer. (m: What is the period of f 1') 1 pts Question 9 1 pts Consider the function f(x) = 1x-51+/x+71 (a) Write the function f(x) as a piece-wise defined function, where the pieces are linear functions. (That is, write f(x) using cases, as in Example 4 on page 6, but without using absolute values.) (b) Use part (a) to sketch the graph of the function (by hand).If COS X = A cos y= B sin x = C and sin y = D , find an expression for sin(2x+ y) which only involves A B C and D Show and explain your work