Question: Consider the function f : [2, 2] R, f(x) = 2 sin(x /2) + 1. (a) State the amplitude and range of f. (1 mark)

Consider the function f : [2, 2] R, f(x) = 2 sin(x /2) + 1.

(a) State the amplitude and range of f. (1 mark)

(b) Find the x and y intercepts of y = f(x) over the given domain. (4 marks)

(c) Sketch the graph of y = f(x). Do not forget to label x-, y- intercepts and end points. (3 marks)

2. Consider the function f : [0, 2] R, f(x) = cos(x + /3 ) + 1

(a) Find the x and y intercepts of y = f(x) over the given domain. (4 marks)

(b) Sketch the graph of y = f(x). Do not forget to label x-, y- intercepts and end points.

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