Name: Date: Polynomial Functions and End Behavior Homework.

Section 7.2 Graphing Polynomial Functions. In Section 7.1, we considered applications of polynomial functions.Although most applications use only a portion of the graph of a particular polynomial, we can learn a lot about these functions by taking a more global view of their behavior.

Homework- Graphing Polynomial Functions 1) Determine end behavior (from lead term) 2) Find y intercept 3) Factor completely 4) Find zeros ( x intercepts) 5) Determine the multiplicity of each zero. (If multiplicity is even, the graph touches the x axis at that zero. If the multiplicity is odd, the graph crosses the x axis at that zero.).

Analysis of polynomial functions for degree, end behavior, number, and type of solutions builds on the work done in Unit 2; advanced topics that will be applied to future function types. Students will write polynomial functions to reveal features of the functions, find solutions to systems, and apply transformations, building from Units 1 and 2.

Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x x gets very large or very small, so its behavior will dominate the graph. For any polynomial, the end behavior of the polynomial will match the end behavior of the power function consisting of the leading term.

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. CCSS HSF-IF.C.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

End Behavior A polynomial function is given. Describe the end behavior of the polynomial function. Match the polynomial function with one of the graphs I—VI.

Graph each polynomial function on a calculator. Read the graph from left to right and describe when it increases or decreases. Determine the number of x-intercepts. Sketch the graph. a.) b.) Description: c.) d.) Description: Description: Closure: Describe in words how to determine the degree of a polynomial. U5 Day 2 Multiplying Polynomials (Section 6.2) WARM UP. 1-2 Evaluate 3-4 Simplify. 1.

Steps involved in graphing polynomial functions: 1. Predict the end behavior of the function. 2. Find the real zeros of the function. Check whether it is possible to rewrite the function in factored form to find the zeros. Otherwise, use Descartes' rule of signs to identify the possible number of real zeros. 3. Make a table of values to find several points. 4. Plot the points and draw a.

End behaviorThe behavior of the graph of a function as x approaches positive infinity or negative infinity Your Notes Decide whether the function is a polynomial function. If it is, write the function in standard form and state its degree, type, and leading coefficient. a. f(x) 2x1.2 2x3 4x2 b. f(x) 0.32x x3 71 a. The function is not a.

Describe End Behavior. We look at the polynomials degree and leading coefficient to determine its end behavior. It is helpful when you are graphing a polynomial function to know about the end behavior of the function. End behavior of a graph describes the values of the function as x approaches positive infinity and negative infinity positive infinity goes to the right x o f negative infinity.

In addition to the end behavior of polynomial functions, we are also interested in what happens in the “middle” of the function. In particular, we are interested in locations where graph behavior changes. A turning point is a point at which the function values change from increasing to decreasing or decreasing to increasing. We are also interested in the intercepts. As with all functions.

Math 3 - Unit 3 Home Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 Unit 10 Unit 11 1st Semester Final Review 2nd Semester Final Review SBAC Review.