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

Answers: 2

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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

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

Answer from: Quest

cosine

step-by-step explanation:

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