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The degree of the polynomial function f(x) is 4.

The roots of the equation f(x)=0 are −6 , −2 , 1, and 3.

Which graph could be the graph of f(x) ? 

The degree of the polynomial function fx is 4 The roots of the equation fx0 are 6 2 1 and 3 Which graph could be the graph of fx class=

Respuesta :

Answer:

option B

Step-by-step explanation:

The degree of the polynomial function f(x) is 4.

The roots of the equation f(x)=0 are [tex]−6 , −2 , 1,[/tex] and 3.

We are given with four roots. they are the x intercepts

x intercepts are [tex]−6 , −2 , 1,[/tex] and 3

The polynomial has degree 4, the polynomial goes up on both sides

We look at the graph that has x intercepts [tex]−6 , −2 , 1,[/tex] and 3 and both ends of the graph goes up

option B is correct

The graph that could be the graph of f(x) is;

The second graph which is the one at the top right

We are told that;

Degree of polynomial f(x) = 4; This means it has 4 roots

Roots of polynomial = -6, -2, -1 and 3

The roots of a polynomial simply means the values of x at which the function f(x) is equal to zero. This simply means the x- intercept is the root.

Thus, the x-intercept of the correct graph should be at;

x = -6; x = -2 ; x = -1 and x = 3

Looking at the given graphs, the only one that has its' x-intercepts at x = -6; x = -2 ; x = -1 and x = 3 is the second graph at the top right.

Read more at; https://brainly.com/question/11625355

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