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

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 as x increases.

Front

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

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 can be predicted using its degree and leading coefficient.

Back

True

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 rational functions can be determined by the degrees of the numerator and denominator.

Back

True

Front

What is the end behavior of the function f(x) = 1/x as x approaches positive or negative infinity?

Back

As x approaches positive or negative infinity, f(x) approaches 0.

Front

True or False: The end behavior of exponential functions is always increasing.

Back

False; it depends on the base of the exponential function.