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Understanding Polynomial Functions: Basics, Domain, and Evaluation

Learn about polynomial functions, their definitions, domains, multiplying, solving, and evaluating them. Identify polynomial functions, their roots, and analyze graphs. Practice with piecewise defined functions. Practice Test 1 available for multiple attempts online.

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Understanding Polynomial Functions: Basics, Domain, and Evaluation

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  1. MATH 1314 Lesson 1: Prerequisites

  2. Identifying Polynomials To begin with, let’s review the definition of a polynomial function. A polynomial is the sum and/or difference of terms that contain variables and/or real constants, with variables raised to whole number (0, 1, 2, 3, …) powers.

  3. Example 1: Which of the following are polynomial functions?

  4. Domain: The domain of a function is the set of all values of the independent variable(s) for which a function is defined, i.e. yields real-valued results.

  5. Example 2: Find the domain of each of the following functions.

  6. Example 3: Given the graph of a function below, give the domain.

  7. Multiplying, Solving and Evaluating Functions

  8. Example 5: Find the roots of each function below.

  9. Example 6: Find f(-2) for each function below, if possible.

  10. Example 7:

  11. Analyzing Graphs of Polynomials

  12. Piecewise Defined Functions A function that is defined by two (or more) equations over a specified domain is called a piecewise function.

  13. Now you can take Practice Test 1 (up to 20 times) then take Test 1 (up to 2 times) from anywhere online (no CASA reservation needed).

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