Explore polynomial functions and their graphs in-depth for IB Maths AI SL. Learn key concepts, graphing techniques, and real-world applications.

Chapter 5 Polynomial and Rational Functions. Recognize characteristics of graphs of polynomial functions. Use factoring to find zeros of polynomial functions. Identify zeros and their …

5.2 – Polynomial Functions and Their Graphs Learning Objectives 1 Identify power functions and their end behavior 2 Identify polynomial functions. 3 Identify zeros and their multiplicities. 4 …

Predicting the end behavior and graphing polynomial functions. Manipulating and finding polynomial functions. Modeling and interpreting polynomial functions. Make sure to take notes …

Be sure to show all x- and y-intercepts, along with the proper behavior at each x-intercept, as well as the proper end behavior. The x-intercepts of the function occur when P x 0 , so we must …

⃣ Tell whether an expression is a polynomial or not a polynomial ⃣ Identify end behavior from standard form of a polynomial ⃣ List and explain the important parts of a graph or table such as; …

We now turn our attention to graphs of polynomial functions. As polynomial functions are sums of monomial functions, it stands to reason that some of the properties of those graphs carry over …

4 days ago · List the general steps suggested for sketching the graph of a polynomial function. What does the Intermediate Value Theorem state about a polynomial function \(f\) if \(f(a)\) and …

Aug 21, 2024 · Calculus is the mathematics that describes changes in functions. In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, …

Apr 21, 2025 · Find the zeros of the function f (x) = x 3 − 7 x 2 + 11 x − 5, and describe the behavior of the graph at each zero. 𝖠 The graph touches the x-axis at 1 and crosses the x-axis …