Given f: x2 cos x and g: x + sin(x +30°)
2.1
Sketch the graphs of f and g on the same set of axes for xe [-180°;180]
(6)
Clearly show all intercepts with the axes and the coordinates of turning points.
2
(2
For which values of x is f(x)=g(x)?
3
For which values of x is f(x) > 0?
For which values of x is g(x) increasing?
If the curve of f is moved one unit down, write down the new equation of f
If the graph of g is moved 45° to the left, write down the new equation of g