Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Chapter
Graphs 6
18 practice questions
Practice questions
1–10 of 18
Question 1
1 mark · Easy
Answer and check →The equation of a cubic graph is .
Write down the value of when .
Question 2
2 marks · Easy
Answer and see the solution →A reciprocal graph is given by .
Calculate the value of when .
Question 3
2 marks · Easy
Answer and see the solution →The graph of is drawn for .
Explain what happens to the value of as gets larger and larger.
Question 4
3 marks · Easy
Answer and see the solution →The equation models the volume, in cubic centimetres, of a container where is the length in centimetres.
(a)[1 mark]Calculate the volume when .
(b)[2 marks]Find the value of for which between and .
Question 5
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 6
1 mark · Easy
Answer and see the solution →Write down the algebraic form of a simple cubic equation.
Question 7
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 8
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 9
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 10
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.