Graphing Polynomials Teacher Resources

Using Wolframalpha graphing capabilites, algebra learners graph polynomials with degrees of three and larger. They identify the roots and graph each polynomial, predict zeros and shapes of graphs, and validate their understanding through...

You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...

In this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.

This lesson is all about polynomial functions, graphs, and parabolas! It even comes with quite a few follow along worksheets. Get your class graphing polynomial functions with a degree higher than two, identifying the function...

Explore the concept of graphing polynomials  with your class. Scholars graph polynomials and determine their end behavior. They use their calculator to determine the end behavior of linear, quadratic, and cubic equations.

Young mathematicians graph polynomials using the factored form. As they apply all positive leading coefficients, pupils demonstrate the relationship between the factors and the zeros of the graph.

So many things to remember when graphing polynomials and this guide gives a helping hand to do so. The packet goes through examples and explains things like critical values, end behavior, and multiplicities. There are image links and...

Get out the graph paper; it's time to graph functions! Upper graders solve and graph 10 different problems that include graphing polynomial functions, finding the bounds for x and y that display the basic characteristic of the graph of...

Students graph polynomial equations using different methods. In this algebra lesson, students identify the different ways the x and y values relate in a graph. They solve for x by finding the zero's of the polynomials.

Your AP Calculus learners probably have their ID numbers memorized, but have they tried graphing them? Pique your pupils' interest by asking each to create a unique polynomial function based on their ID numbers, and then analyze the...

Pupils explore a method of checking the sum or difference of polynomials by graphing the problem and the simplified answer and comparing the graphs. 

Explore operations on polynomials through graphing on the TI-Nspire. Learners investigate addition, subtraction, multiplication and division of polynomials through graphing. They graph polynomials and identify key concepts.      

In this polynomial worksheet, students graph curves given by a polynomial expression. They determine the local maximum and local minimum of a curve. This one-page worksheet contains three multi-step problems.

High schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...

In this polynomials worksheet, 9th graders solve and complete 3 different problems. First, they illustrate the x is equal to a given number of a function and determine its multiplicity. Then, students factor the function completely and...

Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.

Students graph polynomials. In this Algebra II lesson, students investigate the graph of a polynomial to determine the value and the number of zeros. This lesson requires the use of a graphing calculator.

Budding mathematicians graph polynomial functions and examine their zero and y-intercepts. They analyze how the zero and y-intercepts of the numerator and denominator affect the graph of a rational function. Several great additional...

In this polynomial functions worksheet, 9th graders solve and complete 22 various types of problems. First, they describe the end behavior of each function. Then, students state the maximum number of turns the graph of each function...

Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.

In this Pre-Calculus/Calculus worksheet, students graph polynomial functions, identifying the x- and y-intercepts as well as end behavior.  The two page worksheet contains sixty problems.  Answers are included. 

Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...

How does the graph intersect? Learners investigate the x-intercepts of polynomial functions. They first determine the relationship between the interaction of the graph, then figure out the power of the factor.

In this polynomial function worksheet, students create a table of functions and graph the data. They identify the relative maxima and minima of each function. This one-page worksheet contains six multi-step problems.