End Behavior of Polynomials
Explore the end behavior of polynomial functions based on their degree and leading coefficient with this Grade 9 math worksheet.
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End Behavior of Polynomials
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Read each question carefully and provide your answer in the space provided. For questions involving graphs, analyze the end behavior of the polynomial function.
1. Which of the following describes the end behavior of a polynomial with an odd degree and a positive leading coefficient?
Falls left, falls right
Falls left, rises right
Rises left, falls right
Rises left, rises right
2. What is the end behavior of the function f(x) = -2x^4 + 3x^2 - 1?
Falls left, falls right
Falls left, rises right
Rises left, falls right
Rises left, rises right
3. If a polynomial has an even degree and a negative leading coefficient, its end behavior will be: falls left and .
4. The end behavior of a polynomial describes what happens to the graph of the function as x approaches positive or negative .
5. Describe the end behavior of the polynomial function shown in the graph below.
As x → -∞, f(x) →
As x → +∞, f(x) →
6. Sketch a graph of a polynomial function that has an even degree and a positive leading coefficient. Label the x and y axes.
7. The end behavior of a polynomial function is determined by its constant term.
True
False