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 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.

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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).

Step-by-step explanation:

The slope of a line is used to describe the average rate of change. Often referred to as the (), the general formula to find the slope of a line is the following,

Where () and () are both points on the line. One is given that the following points are on the line,

Substitutes these values into the formula and solve for the slope,

Simplify, remember negative times negative equals positive,

Combine like terms,

Simplify further, remember a fraction is another way of representing division,