222k views
4 votes
In problems 15–26, determine which functions are polynomial functions. For those that are, state the degree. For those that are not, explain why not. 20. f(x) = x² - 12

User Fyzzys
by
8.6k points

1 Answer

2 votes

Final answer:

The function f(x) = x² - 12 is a polynomial function, specifically a quadratic function due to the presence of the x² term. The degree of this polynomial is 2.

Step-by-step explanation:

The function given in Problem 20, f(x) = x² - 12, is indeed a polynomial function. A polynomial function is one that is composed of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents. The degree of a polynomial function is determined by the highest power of the variable in any of the terms. In this case, the function contains the term x², which indicates it's a second-order polynomial more commonly known as a quadratic function. The highest power of x in the function is 2, so the degree of the polynomial is also 2.

User RMu
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories