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1.) The degree of the polynomial function f(x) is 4.
The roots of the equation f(x)=0 are −4 , −1 , 2 and 5.
Which graph could be the graph of f(x) ?


2.) The degree of the polynomial function f(x) is 3.
The roots of the equation f(x)=0 are −1 , 0, and 4.
Which graph could be the graph of f(x) ?

1 The degree of the polynomial function fx is 4 The roots of the equation fx0 are 4 1 2 and 5 Which graph could be the graph of fx 2 The degree of the polynomia class=
1 The degree of the polynomial function fx is 4 The roots of the equation fx0 are 4 1 2 and 5 Which graph could be the graph of fx 2 The degree of the polynomia class=

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sqdancefan

Answer:

  • lower left
  • upper right

Explanation:

In each case, the graph must cross the x-axis at the locations listed as roots (zeros) of the function (values of x where f(x)=0).

1. The zeros are given as -4, -1, 2, 5. Those x-values are where the curve must cross y=0 (the x-axis).

2. The zeros are given as -1, 0, 4. Those x-values are where the curve must cross y=0 (the x-axis).

Ver imagen sqdancefan
Ver imagen sqdancefan

1) The graph that represents the function f(x) is;

The third graph located at the bottom left.

2) The graph that represents the function f(x) is;

The second located at the top right corner.

1) We are given the roots of the polynomial as;

x = -4, x = -1, x = 2, x = 5.

The roots simply means the values of x that makes the y to be zero. Thus, they are the x-intercepts of the graph curve.

Looking at the given graphs, the only one that has all its' x-intercepts as x = -4, x = -1, x = 2, x = 5 is the third graph located at the bottom left.

2) We are told the degree of the polynomial is 3 which means that it has 3 roots which are given as;

x = -1, x = 0, x = 4.

The roots simply means the values of x that makes the y to be zero. Thus, they are the x-intercepts of the graph curve.

Looking at the given graphs, the only one that has all its' x-intercepts as x = -1, x = 0, x = 4 is the second graph located at the top right corner.

Read more at; https://brainly.com/question/11546480

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