Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
11–20 of 40 · Easy
Question 11
3 marks · Easy
Answer and see the solution →Let the function f be defined as .
(a)[1 mark]Write down the equation to find the inverse function .
(b)[1 mark]Find the inverse function .
(c)[1 mark]Find .
Question 12
3 marks · Easy
Answer and see the solution →The table shows a mapping from set X to set Y.
Mapping Table X Y 0 2 2 6 5 12 8 18 (a)[1 mark]Does this mapping represent a function? Give a reason.
(b)[1 mark]Write the rule for the function as an expression for Y in terms of X.
(c)[1 mark]Use your rule to find the value of Y when X = 10.
Question 13
1 mark · Easy
Answer and see the solution →State the range of the function , when the domain is .
Question 14
2 marks · Easy
Answer and see the solution →Let and . Find the value of .
Question 15
1 mark · Easy
Answer and see the solution →Write down the number of intersection points of the graphs of the equations y = x^2 and y = x + 2.
Question 16
2 marks · Easy
Answer and see the solution →The graph of y = x^2 is drawn for −3 ≤ x ≤ 3. Use the graph to solve x^2 = 4. Write down all solutions.
Question 17
2 marks · Easy
Answer and see the solution →Explain how you would use a graph to solve the equation x^2 + 2 = 2x.
Question 18
3 marks · Easy
Answer and see the solution →The equations y = x^2 - 3 and y = 2x + 1 are drawn on the same set of axes.
(a)[1 mark]Write down the equation formed by setting the two expressions for y equal to each other.
(b)[1 mark]How many solutions are there to the simultaneous equations y = x^2 - 3 and y = 2x + 1?
(c)[1 mark]Explain what the points of intersection of these two graphs represent.
Question 19
3 marks · Easy
Answer and see the solution →Complete the table of values for the equation y = x^2 - x - 2.
Table of values for y = x^2 - x - 2 x y -2 -1 0 1 2 Question 20
2 marks · Easy
Answer and see the solution →The equations y = x^2 - 4 and y = 0 are drawn on the same axes. Solve these equations graphically and write down the solutions for x.