Evaluating a Polynomial Function

Examples of Polynomial Functions: $f(x) = x^2 + 5x + 6$ and $g(x) = 3x - 4$

Subtraction of Polynomial Functions

Addition of Polynomial Functions

Quadratic Function

A business analyst uses the function $f(x) = 5x^2 - 12x + 100$ to model a company's projected revenue over $x$ months. Given that the output values of this function are determined by a polynomial expression, how should this function be classified?

Classifying Professional Mathematical Models

A business analyst uses the function $f(x) = x^2 + 10x + 100$ to model the projected growth of a startup company. True or False: This model is correctly classified as a polynomial function because its range values are defined by a polynomial expression.

A quality control engineer uses the function $T(x) = x^2 + 5x + 6$ to monitor the thickness of a steel plate during production. Because the range values of this function are defined by a polynomial expression, the relationship $T(x)$ is formally categorized as a(n) ____ function.

Classifying Revenue Forecasting Models

Defining Polynomial Functions in Inventory Models

As a business owner or technical team member, you will often use mathematical functions to model operational data, such as pricing, material costs, and efficiency. To analyze these models correctly, you must be able to identify polynomial functions based on their defining expressions. Match each function model with the correct description of its classification.