Question

1. use the graph of the polynomial equation ( y = x ^ { 4 } - 10 x ^ { 2 } + 16 ) to describe its concavity. how many points of inflection does this curve have?

Explanation:

Step1: Recall the definition of inflection point

An inflection point is a point where the concavity of the curve changes.

Step2: Analyze the graph

By observing the graph of \(y = x^{4}-10x^{2}+16\), we can count the number of times the concavity changes.

Answer:

The curve has \(2\) inflection points.