Exam-style question
Try this first
Which statement shows sound exponentials and logarithms reasoning for the function a^x and its graph?.
- A.F1: check notation, restrictions and final form
- B.Use any familiar GCSE calculation even if it ignores the function a^x and its graph
- C.Write only the final answer without showing the mathematical method
- D.Change the notation or restrictions to make the algebra look simpler
Model answer
What a good answer should say
- The correct answer is F1: check notation, restrictions and final form.
- This option is best because link the algebraic feature to the corresponding graph feature, then checks that the notation, restrictions and conclusion match the AQA A-level Mathematics objective.
This answer is tied to the objective: F1 Know and use the function a^x and its graph, where a is positive; know and use the function e^x and its graph..
Explanation
Why this works
Use the explanation to connect the worked answer back to F1 Know and use the function a^x and its graph, where a is positive; know and use the function e^x and its graph..
F1: check notation, restrictions and final form is the correct option. It directly supports the function a^x and its graph by requiring the student to link the algebraic feature to the corresponding graph feature.
The other options are weaker because they hide the reasoning, ignore restrictions, or use a generic calculation that may not fit the objective.
Maths method check
- Topic focus: Pure Mathematics.
- Question style: practice.
- Reasoning demand: application.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
No common mistake is linked to this question yet.