Warm-up 11/9 Flashcardizz

Front

What is end behavior in the context of polynomial functions?

Back

End behavior refers to the behavior of the graph of a polynomial function as the input values (x) approach positive or negative infinity.

Front

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

Back

The degree of a polynomial determines the direction in which the graph rises or falls as x approaches positive or negative infinity.

Front

What does a positive leading coefficient indicate about the end behavior of a polynomial function with an even degree?

Back

If a polynomial function has a positive leading coefficient and an even degree, the graph will rise to infinity on both ends (as x approaches ±∞).

Front

What does a negative leading coefficient indicate about the end behavior of a polynomial function with an odd degree?

Back

If a polynomial function has a negative leading coefficient and an odd degree, the graph will fall to negative infinity on the right and rise to positive infinity on the left.

Front

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

Back

The leading coefficient affects the direction of the graph's ends; a positive leading coefficient indicates the graph rises on one or both ends, while a negative leading coefficient indicates it falls.

Front

Describe the end behavior of a polynomial function with a positive leading coefficient and an odd degree.

Back

The graph will fall to negative infinity on the left and rise to positive infinity on the right.

Front

Describe the end behavior of a polynomial function with a negative leading coefficient and an even degree.

Back

The graph will fall to negative infinity on both ends.

Front

What is the relationship between the degree of a polynomial and the number of turning points in its graph?

Back

A polynomial of degree n can have at most n-1 turning points.

Front

How can you determine the degree of a polynomial from its standard form?

Back

The degree of a polynomial is determined by the highest power of the variable in the polynomial's expression.

Front

What is the general form of a polynomial function?

Back

A polynomial function is expressed as f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n is the leading coefficient and n is the degree.