Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 7
107 practice questions
Topics covered
Practice questions
41–50 of 107
Question 41
3 marks · Easy
Answer and see the solution →The function is to be plotted for .
Complete the table for the given values of .
(a)[3 marks]x y -1 0 1 2 Question 42
1 mark · Easy
Answer and see the solution →Write down the algebraic form of a simple cubic equation.
Question 43
2 marks · Easy
Answer and see the solution →The graph of has an asymptote on the y-axis.
State the equation of this asymptote, and calculate the value of when .
Question 44
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 45
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 46
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 47
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 48
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 49
2 marks · Normal
Answer and see the solution →State the algebraic form of a reciprocal equation and give an example.
Question 50
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.