Mathematics, 05.07.2019 01:00 juliopejfuhrf7541

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

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Answer from: chops85

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 from: mdg5605

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 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:

Learn more about inverse of the functionhttps://link. Learn more about equation of circle link. Learn more about range and domain of the function link.

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.

Answer from: Quest

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!

Answer from: Quest

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

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