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OCR MEI A Level - Functions

Functions, Composites, Inverses & Models

OCR MEI H640/03 Jun 2024 A2 Exam Q. 2 :   4 marks in 6:24 min.
OCR MEI H640/02 Jun 2023 A2 Exam Q. 12 :   4 marks in 4:48 min.
OCR MEI H640/03 Jun 2022 A2 Exam Q. 2 :   6 marks in 9:36 min.
OCR MEI H640/03 Jun 2022 A2 Exam Q. 8 :   16 marks in 25:36 min.
OCR MEI H640/02 Nov 2020 A2 Exam Q. 15 :   7 marks in 8:24 min.
OCR MEI H640/03 Jun 2019 A2 Exam Q. 1 :   6 marks in 9:36 min.
OCR MEI H640/02 Jun 2019 A2 Exam Q. 9 :   9 marks in 10:48 min.
OCR MEI H640/03 Jun 2018 A2 Exam Q. 9 :   4 marks in 6:24 min.
OCR MEI H640/02 Jun 2017 A2 Exam Q. 4 :   5 marks in 6:00 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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