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AQA A Level - Functions

Functions, Composites, Inverses & Models

AQA 7357/2 Jun 2023 A2 Exam Q. 7 :   Calculator Allowed 5 marks in 6:00 min.
AQA 7356/2 Jun 2023 AS Exam Q. 9 :   Calculator Allowed 6 marks in 6:45 min.
AQA 7357/3 Jun 2022 A2 Exam Q. 10 :   Calculator Allowed 13 marks in 15:36 min.
AQA 7357/3 Jun 2022 A2 Exam Q. 3 :   Calculator Allowed 1 mark in 1:12 min.
AQA 7357/2 Nov 2021 A2 Exam Q. 10 :   Calculator Allowed 11 marks in 13:12 min.
AQA 7357/3 Nov 2021 A2 Exam Q. 9 :   Calculator Allowed 9 marks in 10:48 min.
AQA 7357/1 Nov 2020 A2 Exam Q. 13 :   Calculator Allowed 15 marks in 18:00 min.
AQA 7357/3 Nov 2020 A2 Exam Q. 3 :   Calculator Allowed 1 mark in 1:12 min.
AQA 7357/2 Jun 2019 A2 Exam Q. 3 :   Calculator Allowed 1 mark in 1:12 min.
AQA 7357/1 Jun 2019 A2 Exam Q. 6 :   Calculator Allowed 8 marks in 9:36 min.
AQA 7357/1 Jun 2018 A2 Exam Q. 4 :   Calculator Allowed 3 marks in 3:36 min.
AQA 7357/3 Jun 2018 A2 Exam Q. 6 :   Calculator Allowed 13 marks in 15:36 min.
AQA 7357/1 Jun 2017 A2 Sample Exam Q. 10 :   Calculator Allowed 10 marks in 12:00 min.
Graphs of functions on two-part domain
Explore the graphs of functions and their inverses
Domain and Range of Function
The line $y = a{x^3} - x$ is displayed for the domain $d \le x \le e$.

Observe how the choice of domain affects the range.

Inverse Functions
Use this display to explore the composition of functions with their inverses. Move the drag point. If f(x) and g(x) are inverses then gf(x) should equal x. Try each of the 14 combinations provided. Why is it that sometimes gf(x) is not x?
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