Functions and Graphs
1. [June 2018 QP 2]
(a) Find gg(5). [2
marks]
(b) State the range of g. [1
mark]
(c) Find g-1(x), stating its domain.
[3 marks]
2. [June 2018 QP 2]
(a) (i) Sketch the graph of y = |x| + 3.
(ii) Explain why |x| + 3 ≥ |x + 3| for all real values of x. [3
marks]
3. [Specimen QP 1]
The function f is defined by
(a) Find f-1(x). [3
marks]
(b) Show that
, Where a is an integer to be found. [4
marks]
The function g is defined by
(c) Find the value of fg(2). [2
marks]
(d) Find the range of g. [3
marks]
(e) Explain why the function g does not have an inverse
[1 mark]
4. [Specimen QP 2]
(a) Sketch the graph with the equation
Stating the coordinates of any points where the graph cuts or meets the
coordinate axes.
[2
marks]
(b) Find the values of x which satisfy
1. [June 2018 QP 2]
(a) Find gg(5). [2
marks]
(b) State the range of g. [1
mark]
(c) Find g-1(x), stating its domain.
[3 marks]
2. [June 2018 QP 2]
(a) (i) Sketch the graph of y = |x| + 3.
(ii) Explain why |x| + 3 ≥ |x + 3| for all real values of x. [3
marks]
3. [Specimen QP 1]
The function f is defined by
(a) Find f-1(x). [3
marks]
(b) Show that
, Where a is an integer to be found. [4
marks]
The function g is defined by
(c) Find the value of fg(2). [2
marks]
(d) Find the range of g. [3
marks]
(e) Explain why the function g does not have an inverse
[1 mark]
4. [Specimen QP 2]
(a) Sketch the graph with the equation
Stating the coordinates of any points where the graph cuts or meets the
coordinate axes.
[2
marks]
(b) Find the values of x which satisfy
