End-Behavior of Polynomial Functions
Read this topicExplanations 4
- (Video) End Behavior of Polynomial Functions by Dan Ozimek In this video by Dan Ozimek, the concept of "end behavior" when referring to polynomials is described. This is importa…
By Stefan Cuevas, Alex Federspiel
- (Video) End Behavior of Polynomial Functions by NotesCollegeAlgebra In this video by NotesCollegeAlgebra the end behavior of specific polynomial functions are shown.
By Stefan Cuevas, Alex Federspiel
- Polynomial End Behavior The end behavior of a polynomial is exactly what it sounds like: we want to know what happens to a polynomial function toward the "ends" of the xxx-axis.…
By Anusha Rahman
- Polynomial End-Behavior In this next lesson on polynomials, you will learn about polynomial end-behavior, which is the behavior of the ends of a function. Think about where the …
By Anusha Rahman
Problems 13
- Let f(x)=ax3+bx2+cx+df(x) = ax^3+bx^2+cx+df(x)=ax3+bx2+cx+d be a real cubic polynomial with a≠0a\ne0a=0. What is the smallest possible number of real roots that fff can have?
- What is the leading term of the polynomial −2x3+5x−8-2x^3 + 5x - 8−2x3+5x−8?
- As x→∞x \rightarrow \inftyx→∞ what does the graph of 3x3−5x+883x^3 - 5x + 883x3−5x+88 look most like?
- Which term in the following polynomial most influences the general shape of its graph? x5+3x4+10x3+55x2+100x+1x^5 + 3x^4 + 10x^3 + 55x^2 + 100x + 1x5+3x4+10x3+55x2+100x+1
- Is the graph above, does the polynomial have an even or odd degree?
- Is the graph above, does the polynomial have an even or odd degree?
- Which of the following is the above function definitely not?
- Find the long run behavior of the function below as x→∞x\rightarrow \inftyx→∞ and x→−∞x\rightarrow - \inftyx→−∞. f(x)=−2x4−3x2+x−1f(x) = -2x^4 -3x^2 + x - 1f(x)=−2x4−3x2+x−1 An …
- Find the long run behavior of the function below as x→∞x\rightarrow \inftyx→∞ and x→−∞x\rightarrow - \inftyx→−∞. f(x)=6x5−2x4+x2+3f(x) = 6x^5 - 2x^4 +x^2 +3f(x)=6x5−2x4+x2+3 An …
- Find the long run behavior of the function below as x→∞x\rightarrow \inftyx→∞ and x→−∞x\rightarrow - \inftyx→−∞. f(x)=3x2+x−2f(x) = 3x^2 + x -2f(x)=3x2+x−2 An Investigation of F…
- Find the long run behavior of the function below as x→∞x\rightarrow \inftyx→∞ and x→−∞x\rightarrow - \inftyx→−∞. f(x)=−2x3+x2−x+3f(x) = -2x^3 + x^2 -x + 3f(x)=−2x3+x2−x+3 An Inv…
- Find the long run behavior of the function below as x→∞x\rightarrow \inftyx→∞ and x→−∞x\rightarrow - \inftyx→−∞. f(x)=x4f(x) = x^4f(x)=x4 An Investigation of Functions Lippman &…
- Which of the following cubic polynomials is graphed above?