Polynomial Functions Graphs
Polynomial Functions are graphed in many ways depending on the degree of the given polynomial function. Some polynomial functions are graphed as a line, some as parabolas, and some higher-degree polynomial functions are graphed as curves intersecting the x-axis various times.
Let’s understand these graphs individually in detail.
Graph for Constant Polynomial Function
The constant polynomial function is of the form P(x) = a. In the graph, a horizontal line represents the constant polynomial function.
Graph for Linear Polynomial Function
The linear polynomial function is of the form P(x) = ax + b. In the graph, a straight line (with slope a and intercept b) represents the linear polynomial function.
Graph for Quadratic Polynomial Function
The quadratic polynomial function is of the form P(x) = ax2 + bx + c. In the graph, a parabola represents the quadratic polynomial function.
Graph for Higher Polynomial Function
The higher polynomial function is of the form P(x) = anxn + an-1xn-1 + …… + a2x2 + a1x + a0. In the graph, a straight line can intersect the graph on n points if the polynomial function is of degree n.
Polynomial Functions
Polynomial Functions are functions consisting of many algebraic terms including constants, variables of different degrees, coefficients, and positive exponents. The degree of the polynomial function is the highest exponent of the variable.
In this article, we will learn about Polynomial Functions, their examples, the degree of polynomial functions, etc. We will also learn about the types of polynomial functions, their graphs, the roots of polynomial functions, and how to identify whether the function is a polynomial function or not.
Table of Content
- What is a Polynomial Function?
- Examples of Polynomial Function
- Types of Polynomial Functions
- Polynomial Functions Graphs
- Zeros of Polynomial Function
- How to Identify a Polynomial Function?