Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 6
18 practice questions
Practice questions
11–18 of 18
Question 11
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 12
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 13
2 marks · Normal
Answer and see the solution →State the algebraic form of a reciprocal equation and give an example.
Question 14
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 15
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.
Question 16
2 marks · Hard
Answer and see the solution →A company models the cost, $C, in dollars, of producing x batches of items by the equation below. \[ C = \frac{1800}{x} + 70x \] For what value of x is the cost C minimized (to the nearest whole number)?
Question 17
4 marks · Hard
Answer and see the solution →The function is to be plotted for .
Complete the table below by calculating the value of y for each value of x.
x y -2 -1 0 1 2 Question 18
4 marks · Hard
Answer and see the solution →Consider the algebraic form of a reciprocal equation.
(a)[1 mark]Write down the general algebraic form of a reciprocal equation.
(b)[2 marks]Explain how you can identify a reciprocal equation just by looking at its algebraic form.
(c)[1 mark]Give an example of a reciprocal equation and state its asymptotes.