![]() ![]() The graph touches the axis at the intercept and changes direction. The x-intercept 2 is the repeated solution of equation \((x−2)^2=0\). This electronic activity uses Desmos to walk students through graphical representations of polynomial transformations. This activity is designed for Algebra 2 students who are learning about polynomial functions. We call this a single zero because the zero corresponds to a single factor of the function. The factor is linear (has a degree of 1), so the behavior near the intercept is like that of a line-it passes directly through the intercept. The graph passes directly through thex-intercept at \(x=−3\). The x-intercept −3 is the solution of equation \((x+3)=0\). In this activity, students practice using the zeros of a function and a point on the function graph to write the equation of a polynomial function in. Graphing Rational Functions (This is my creation.not fancy, but it accomplished what I was looking for.\): Identifying the behavior of the graph at an x-intercept by examining the multiplicity of the zero. Horizontal and Slant Asymptotes (I love the use of "which one doesn't belong" in this activity.) Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Students will be given graphs and asked to choose the correct. Polygraph: Polynomials (My students LOVE polygraphs!) This activity asks students to answer various questions about the graphs of polynomial functions. Here's the link to my whole collection: Precalculus Unit 3 If f has a zero of even multiplicity, its graph will touch the x -axis at that point. If f has a zero of odd multiplicity, its graph will cross the x -axis at that x value. Polynomial Equation Challenges Activity Builder by Desmos 3.6 Zeros of Polynomial Functions. The zeros of a function f correspond to the x -intercepts of its graph. Functions Teacher Guide 5.3 Graphs of Polynomial Functions. It's not fancy, but it gave my students the group practice I wanted them to have with graphing rational functions with slant asymptotes. If this is new to you, we recommend that you check out our end behavior of polynomials article. I must confess I made a couple of mistakes that my students helped me to realize and fix as we did it. I even went to a virtual math seminar on using the computational layer in Desmos to add special elements to Desmos Activity Builder this past weekend and tried my hand at it for an activity we did this week. ![]() I found some great activity builders on Desmos for this unit that I didn't have last year. I would use Desmos wether we were face to face or remote, but I love Desmos even more when we have to go to remote learning. They have been scanning and submitting all of their work in Google Classroom and we have been using Desmos on a regular basis. Graphing Polynomial Functions Graph (a) f(x) x3 + x2 + 3x 3 and (b) f(x) x4. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. In this activity, students will consider properties of polynomial functions such as end behavior, leading terms, and properties of roots. Constructing Polynomials Activity Builder by Desmos. Then connect the points with a smooth continuous curve and use what you know about end behavior to sketch the graph. I’m trying to replicate slide 2 in this activity. ![]() Fortunately, I had been preparing my classes for this from the beginning of the year. Graphing Polynomial Functions To graph a polynomial function, fi rst plot points to determine the shape of the graph’s middle portion. Students review and practice graphing and analyzing polynomial functions up to degree 5. ![]() It also affects the end behavior, or directions of the graph to the far left and far right. We came so close to finishing the first quarter face to face, but had to transition to remote learning for a week and a half starting on the last day of the quarter. The degree of a polynomial function affects the shape of its graph and the determines the maximum number of turning points, or places where the graph changes direction. ![]()
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