Question

Find the number of turns in the graph of the function f(x) = (x2 - 5x + 4)(x).

Answer 1

2

Explanation:

Given the function:

`f\mleft(x\mright)=(x^2-5x+4)\left(x\right)`

The greatest power of f(x) = 3.

This means that the polynomial f(x) is a cubic polynomial.

The number of turning points in a cubic polynomial is 2.

A graphical illustration is attached below:

Thus, the number of turns in the graph of the function f(x) is 2.