Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 6
18 practice questions
Practice questions
1–8 of 8 · Normal
Question 1
2 marks · Normal
Answer and see the solution →The table shows values of and for the graph of .
x y -4 2 Write down the value of when:
(a)[1 mark](i)
(b)[1 mark](ii)
Question 2
3 marks · Normal
Answer and see the solution →Write down the algebraic form of a cubic equation for a graph with a single turning point and which passes through the point (1, 0).
Give your answer in the form .
Question 3
3 marks · Normal
Answer and see the solution →The graph of is shown below.
Explain what happens to the value of as approaches zero from the positive side, and as becomes very large.
Question 4
4 marks · Normal
Answer and see the solution →A company's profit, thousand dollars, after years is given by for .
(a)[1 mark]Calculate the company's profit when .
(b)[1 mark]Determine whether the company makes a loss at .
(c)[2 marks]State how the graph of against helps you decide when the company will break even.
Question 5
4 marks · Normal
Answer and see the solution →The table shows some values for the function .
x -2 -1 0 1 2 y Complete the table.
Question 6
2 marks · Normal
Answer and see the solution →State the algebraic form of a reciprocal equation and give an example.
Question 7
3 marks · Normal
Answer and see the solution →The graph of crosses the y-axis at a certain point.
Find the coordinate where the graph crosses the y-axis. Explain your method.
Question 8
3 marks · Normal
Answer and see the solution →The graph of is drawn for .
Explain how you can estimate, from the graph, the value of when , and describe the process for doing this accurately.