# What Is The End Behavior Of The Graph Of The Polynomial Function F(X) = 3X6 + 30X5 + 75X4?

What Is The End Behavior Of The Graph Of The Polynomial Function F(X) = 3X6 + 30X5 + 75X4?. This polynomial is much too large for me to view in the standard screen on my graphing calculator, so either i can waste a lot of time fiddling with window options, or i can quickly use my knowledge of end behavior. Hence, f (x) → + ∞ as x → + ∞ and f (x) → − ∞ as x → − ∞ explanation:

F ( x) → − ∞. This polynomial is much too large for me to view in the standard screen on my graphing calculator, so either i can waste a lot of time fiddling with window options, or i can quickly use my knowledge of end behavior. Which of the following describes the zeroes of the graph of f(x) = 3×6 + 30×5 + 75×4?

### Overview Of Graphs Of Polynomial Functions:

For the negative coefficient, the end behavior of graph would be as follows. What is the end behavior of the graph of. This polynomial is much too large for me to view in the standard screen on my graphing calculator, so either i can waste a lot of time fiddling with window options, or i can quickly use my knowledge of end behavior.

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### Which Of The Following Describes The Zeroes Of The Graph Of F(X) = 3X6 + 30X5 + 75X4?

For even degree polynomial (biggest exponent n even) and leading coefficient positive the end behaviour is increasing in both ends; Illustrative socratic graph is inserted. Choose the end behavior of the graph of each polynomial function.

### Practice Determining The End Behavior Of The Graph Of A Polynomial Function With Practice Problems And Explanations.

The end behaviour of a polynomial function depends on the degree n of the polynomial (n even or odd) and the sign on the leading coefficient (the coefficient of the x has the biggest exponent): When x → −∞, x → − ∞, then f (x) → −∞; The graph of any polynomial function y=f (x) is the plot of f (x) for every value of the variable x.

### F ( X) → − ∞.

If the function has a negative leading coefficient and is of even degree, which statement about the graph is true? Identify the leading term of our polynomial function. Coordinate geometry plane geometry solid geometry conic sections.

### The Given Polynomial Function Is.

The end behaviour of a polynomial function is determined by the term of highest degree, in this case x 3. For large values of x, the term of highest degree will be much larger than the other terms, which can effectively be ignored. What is the end behavior of the graph of the polynomial function f(x) = 3×6 + 30×5 + 75×4?