Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Algebra 8
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →Write down, giving a reason, whether the following mapping represents a function.
Mapping Table x y −2 4 1 3 3 5 Question 2
3 marks · Normal
Answer and see the solution →Let the function f be defined by f(x) = 3x - 5 with domain {2, 4, 5, 7}.
Find the range of f.
Question 3
3 marks · Normal
Answer and see the solution →Let f(x) = 2x + 1 and g(x) = x^2.
Explain how to find the value of the composite function fg(3), and work it out.
Question 4
4 marks · Normal
Answer and see the solution →The function f is defined by f(x) = 4x + 1.
a) Show, by algebraic method, how to find the inverse function f^{-1}(x).
b) Use your result to find f^{-1}(13).
(a)[3 marks]Show, by algebraic method, how to find the inverse function f^{-1}(x).
(b)[1 mark]Use your result to find f^{-1}(13).
Question 5
4 marks · Normal
Answer and see the solution →The following table gives the mapping from numbers in set P to set Q.
Mapping Table P Q 1 −2 2 0 3 2 4 4 For this mapping:
(a)[1 mark]Is this mapping a function? Give a reason.
(b)[2 marks]Write down the domain and range of the mapping.
(c)[1 mark]Is this function one-to-one or many-to-one? Explain.
Question 6
2 marks · Normal
Answer and see the solution →Let f(x) = 2x + 3. State the domain and the range of f when the domain is {−2, 0, 4}.
Question 7
3 marks · Normal
Answer and see the solution →Given f(x) = 2x − 1 and g(x) = x^2. Find the value of gf(4).
Question 8
3 marks · Normal
Answer and see the solution →Given the function k(x) = 3x − 4, explain step by step how to find its inverse, and then write down k^{-1}(x).