What is the degree of the power function represented in the table? 1 2 3 4 x h(x) −2 −8 −1 −2 0 0 1 −2 2 −8

Second option.

Step-by-step explanation:

In order to find the degree of the power function represented in the given table, you must find the difference of the y-values (values of ) until they diferences are constant.

1) First differences:

2) Second differences:

You must find the differences between the First  differences. Then, you get:

You can notice that the second differences are constant. This means that the degree of the power function  represented in the given table is:

The degree of the power function represented in the table is .Option (b) is correct.

Further explanation:

Given:

The options are as follows,

(a). 1

(b). 2

(c). 3

(d). 4

Explanation:

The highest power of the polynomial function is known as the degree.

The value of x is -2 and the value of the function is -8.

The value of x is -1 and the value of the function is -2.

The value of x is 0 and the value of the function is 0.

The value of x is 1 and the value of the function is -2.

The value of x is 2 and the value of the function is -8.

The function from the table can be expressed as follows,

Substitute for in equation

The degree of the power function represented in the table is Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Polynomial

Keywords: power function, degree, represented, table, degree of the polynomial, roots, linear equation, quadratic equation, zeros, function, polynomial, solution, cubic function, degree of the function.

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step-by-step explanation:

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