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

Find the number of turns in the graph of the function f(x) = (x2 - 5x + 4)(x).-example-1
User Deejjaayy
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7 votes

Answer:

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.

Find the number of turns in the graph of the function f(x) = (x2 - 5x + 4)(x).-example-1
User Nihal
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