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Each diagram below shows part of the graph of a function - Leaving Cert Mathematics - Question 5 - 2013
Question 5
Each diagram below shows part of the graph of a function. Each of these functions is either quadratic or cubic or trigonometric or exponential (not necessarily in th... show full transcript
Worked Solution & Example Answer:Each diagram below shows part of the graph of a function - Leaving Cert Mathematics - Question 5 - 2013
Step 1
Step 2
For one row in the table, explain your choice of first derivative and second derivative.
Answer
For the quadratic function (k), the first derivative (I) is a linear function, indicating constant slope. This is characteristic of quadratic functions, which represent parabolic shapes.
The second derivative (II) is a constant, suggesting the original function's graph is concave up or concave down depending on the sign. This behavior confirms the quadratic nature of the function.