Question 1 Consider a part of a graph of a function f : R A R (see the diagram below). We restrict f to various intervals D below. Choose those intervals on which restrictions are injective. Question 2 1 pts Let h be the restriction of f (from the previous question) to [1, 3). Determine each of the following (type the correct answer into the boxes.) 1. h- 1 (3) = 2. (h oh-! ) (3)= 3.(h o h) (2)= Question 3 1 pts To disprove that q : Z X Z -> Z, q(x, y) = x + y is injective which pairs of x- and y- values we need to use? O x1 = 2, y1 = -2and x2 = 4, y2 = -2 O x1 = -1, y1 = -2 and x2 = 4, y2 = -2 O x1 = -2, y1 = 1 and x2 = 0, y2 = 2 O x1 = -1, y1 = 1 and x2 = 1, 92 = 1 O x1 = 1, y1 = 2 and x2 = 0, 42 = 3Question 4 1 pts On an MAT102 test Catherine presented the following argument: "To prove that q : Z x Z % Z, q(a:, y) = .1; + y is surjective, we first choose any 771 E Z. Thenwesethlandyzmil. Since q(x,y) = as + y = 1 + (m i 1) = m, this implies that q is a surject'ive function." What can be concluded about this proof? [56'6\"] V [Select] The proof is correct. The proof is not valid since values for x and y are chosen incorrectly. The proof is incorrect since we cannot specify the values of variables without loosing generality of the proof. Question 5 1 pts Functions f : [0, 2] - [0, 4] and g : [0, 4] -> [0, 6] are given by their graphs (see the pictures below): -4- f(x) g(x) -4 -2- 2 0 2 4 Based on their graphs, answer the following questions: (1) Is go f injective? [ Select ] (2) What is the image of go f? [ Select ] [Select [2,6] [0,6] [0,4]