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The function f is concave and is represented by one of the graphs below - AQA - A-Level Maths Pure - Question 3 - 2022 - Paper 2
Question 3
The function f is concave and is represented by one of the graphs below. Identify the graph which represents f. Tick (/) one box.
Worked Solution & Example Answer:The function f is concave and is represented by one of the graphs below - AQA - A-Level Maths Pure - Question 3 - 2022 - Paper 2
Step 1
Identify the graph which represents f.
Answer
To determine which graph represents a concave function, we look for the graph that opens upwards, indicating that the second derivative is positive. Among the options provided, the top right graph shows a concave shape where the arms open upwards, satisfying the condition for concavity. Therefore, the correct graph to tick is the top right option.