The degree of the power function represented in the table is [tex]\boxed2[/tex].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,
[tex]f\left( x \right) = - 2{x^2}[/tex]
Substitute [tex]-2[/tex] for [tex]\text{x}[/tex] in equation [tex]f\left( x \right) = - 2{x^2}.[/tex]
[tex]\begin{aligned}h\left( { - 2}\right) &= - 2\times {\left( { - 2} \right)^2}\\&= - 2 \times 4\\&= - 8\\\end{aligned}[/tex]
The degree of the power function represented in the table is [tex]\boxed2.[/tex]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:
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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.
