Question

If “a” is a non zero constant, what is the maximum number of turns for the graph of
y = x³ + ax² - 7x+10

Answer 1

The maximum number of turns for the graph given by the function is; 2.

What is the maximum number of turns for the graph?

It follows from the task content that the graph given is that of a cubic function. On this note, it follows that the graph has 2 turning points.

This follows from the fact that the degree of the polynomial is 3 and hence, the maximum number of turns on the graph is 2.

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