Question

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

Answer 1

Answer: 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 $h(x)$) until they diferences are constant.

1) First differences:

$-2-(-8)=6\\\\0-(-2)=2\\\\-2-0=-2\\\\-8-(-2)=-6$

2) Second differences:

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

$2-6=-4\\\\-2-2=-4\\\\-6-(-2)=-4$

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

$Degree=2$

Answer 2

The degree of the power function represented in the table is $\boxed2$.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,

$f\left( x \right) = - 2{x^2}$

Substitute $-2$ for $\text{x}$ in equation $f\left( x \right) = - 2{x^2}.$

$\begin{aligned}h\left( { - 2}\right) &= - 2\times {\left( { - 2} \right)^2}\\&= - 2 \times 4\\&= - 8\\\end{aligned}$

The degree of the power function represented in the table is $\boxed2.$Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497.

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.