Polynomial End Behavior (QQT)

Front

What is the end behavior of a polynomial function as x → +∞ if f(x) → ∞?

Back

The polynomial function increases without bound as x approaches positive infinity.

Front

Back

Front

Where do you find relative minimums and maximums in a polynomial function?

Back

Relative minimums and maximums are found at the turning points of the function.

Front

What is the relative maximum of the polynomial function if the point is (0, 36)?

Back

The relative maximum is the point (0, 36).

Front

Back

Front

Define end behavior in the context of polynomial functions.

Back

End behavior describes the behavior of a polynomial function as the input values approach positive or negative infinity.

Front

What is the leading term of a polynomial and how does it affect end behavior?

Back

The leading term is the term with the highest degree. It determines the end behavior of the polynomial as x approaches ±∞.

Front

How does the degree of a polynomial affect its end behavior?

Back

Even-degree polynomials have the same end behavior on both sides, while odd-degree polynomials have opposite end behavior.

Front

What is the significance of the leading coefficient in determining end behavior?

Back

If the leading coefficient is positive, the polynomial will rise to infinity on the right; if negative, it will fall to negative infinity.

Front

What is a turning point in a polynomial function?

Back

A turning point is where the function changes direction from increasing to decreasing or vice versa.