Graphing Polynomials - Worksheet 7 - 11th Grade
MediumGraph polynomials identifying key features and behavior (Medium)
14 problems · 25-30 minutes · Skills: polynomials, graphing, functions
About This Worksheet
This medium-level worksheet contains 14 problems designed for 11th Grade students practicing graphing polynomial functions. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Graphing polynomials synthesizes all previous polynomial knowledge — end behavior, zeros, multiplicity, and turning points — into a coherent visual picture. This analytical graphing process develops the skill of reading structure from an equation to predict behavior, a skill that is central to all of function analysis in calculus.
- Determine end behavior using the leading term's degree and sign
- Identify x-intercepts from zeros, noting the multiplicity and its effect on the graph behavior
- Identify the y-intercept and turning points, and sketch a complete polynomial graph
- Distinguish between zeros where the graph crosses the x-axis vs. bounces off
- Estimate local maxima and minima from the graph to match the equation
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this graphing polynomials - worksheet 7 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this polynomial functions worksheet cover?
This worksheet focuses on polynomials, graphing, functions. It is designed for 11th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 14 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.