end behavior

Front

What is end behavior in mathematics?

Back

End behavior refers to the behavior of a function as the input values approach positive or negative infinity. It describes how the graph of the function behaves at the extremes.

Front

True or False: The end behavior of a polynomial function is determined by its leading term.

Back

True

Front

True or False: A function can have different end behaviors on the left and right sides.

Back

True

Front

What does it mean if a function's end behavior approaches positive infinity as x approaches positive infinity?

Back

It means that the graph of the function rises indefinitely to the right.

Front

True or False: The end behavior of a function can be influenced by its degree and leading coefficient.

Back

True

Front

What is the end behavior of a quadratic function with a positive leading coefficient?

Back

As x approaches positive or negative infinity, the function approaches positive infinity.

Front

True or False: The end behavior of a function is irrelevant to its overall shape.

Back

False

Front

What is the end behavior of a cubic function with a negative leading coefficient?

Back

As x approaches positive infinity, the function approaches negative infinity, and as x approaches negative infinity, the function approaches positive infinity.

Front

True or False: The end behavior of a rational function can be determined by the degrees of the numerator and denominator.

Back

True

Front

What does it indicate if a function's end behavior approaches negative infinity as x approaches negative infinity?

Back

It indicates that the graph of the function falls indefinitely to the left.