Question

What is the degree of the power function represented in the table?

Answer 1

Answer:

The degree of the function is 3.

Step-by-step explanation:

We have been given a table:

We need to first get the formula from the values of x and y given in the table.

$f(x)=2x^3$ is the formula from the table.

Substitute the values of x we will get the values of y  given in the table.

$x=-1$ then $y(x)=2(-1)^3$

$y(x)=-2$

Degree of the function is the highest power of the function.

Here, the degree of the function is 3.

Answer 2

The degree of the power function represented in the table is $\boxed3.$

Further explanation:

Explanation:

Degree is defined as the highest power of the polynomial function.

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

$f\left( x \right) = a{x^n} + b{x^{n - 1}} + \ldots  + cx + d$

The polynomial function has $n$ roots or zeroes.

For $x = - 3$ the value of the function is $-54.$

For $x = - 2$ the value of the function is $-16.$

The function from the table can be expressed as follows,

$f\left( x \right) = 2{x^3}$

Substitute $-3$ for x in equation $f\left( x \right) = 2{x^3}.$

$\begin{aligned}f\left( x \right) &= 2 \times {\left( { - 3} \right)^3}\\&= 2\times \left( { - 27} \right)\\&= - 54\\\end{aligned}$

The degree of the power function represented in the table is $\boxed3.$

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.