[2221–7106] - (Question 1) - IB Math AA HL MAY 2021 TZ1 - Explanation

1. [Maximum mark: 5]
The graph of y = f (x) for -4 ≤ x ≤ 6 is shown in the following diagram.
y
x
8
6
4
2
−2 0 2 4 6
−2
−4
−6
−4
(a) Write down the value of
(i) f (2);
(ii) ( f  f )(2). [2]
(b) Let 1 () () 1 2 gx f x = + for -4 ≤ x ≤ 6. On the axes above, sketch the graph of g. [3]