Pearson Edexcel International GCSE (9–1) · MATHEMATICS A · Unit
Unit 8
106 practice questions
Topics covered
Practice questions
31–40 of 106
Question 31
2 marks · Normal
Answer and see the solution →Let f(x) = 2x + 3. State the domain and the range of f when the domain is {−2, 0, 4}.
Question 32
3 marks · Normal
Answer and see the solution →Given f(x) = 2x − 1 and g(x) = x^2. Find the value of gf(4).
Question 33
3 marks · Normal
Answer and see the solution →Given the function k(x) = 3x − 4, explain step by step how to find its inverse, and then write down k^{-1}(x).
Question 34
2 marks · Hard
Answer and see the solution →Let . Write down the equation of the inverse function .
Question 35
4 marks · Hard
Answer and see the solution →A function is defined by .
Let the function be defined by .
Calculate the value of the composite function . Show your working.
Question 36
4 marks · Hard
Answer and see the solution →Consider the function with domain .
Explain how you determine the range of . Then write down the range.
Question 37
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 38
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 39
2 marks · Easy
Answer and see the solution →Explain how you would use a graph to solve the equation x^2 + 2 = 2x.
Question 40
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.