QUESTION 01 Functions f and g are defined as follows: \(f(x)=(x-2)^{2}-4\) for \(x \ge 2\) \(g(x)=ax+2\) for \(x \in...

QUESTION 17 Functions \(f\) and \(g\) are defined by: \(f : x \rightarrow 2x+3\) for \(x \le 0\), \(g...

QUESTION 02 The one-one function f is defined by \(f(x)=(x-2)^{2}+2\) for \(x \ge c\), where c is a constant....

QUESTION 18 (a) The graph of \(y=f(x)\) is transformed to the graph of \(y=2f(x-1)\). Describe fully the two single...

QUESTION 03 The function \(g\) is defined by \(g(x)=x^{2}-6x+7\) for \(x > 4\). By first completing the square, find...

QUESTION 19 (a) Express \(2x^{2}-8x+14\) in the form of \(2\).   The function \(f\) and \(g\) are defined...

QUESTION 04 Functions \(f\) and \(g\) are defined as follows: \(f : x \rightarrow x^{2}+2x+3\) for \(x \le -1\)...

QUESTION 20 In the diagram, the graph of \(y=f(x)\) is shown with solid lines. The graph shown with broken...

QUESTION 05 The functions \(f\) and \(g\) are defined by: \(f(x)=x^{2}-4x+3\) for \(x > c\), where \(c\) is a...

QUESTION 06 The function \(f\) is defined by \(f : x \rightarrow 7-2x^{2}-12x\) for \(x \in \mathbb{R}\). (i) Express...