End Behavior of Functions

Front

Describe the end behavior of the function.

Back

as x→−∞, f(x)→−∞ and as x→∞, f(x)→∞

Front

Describe the end behavior of the function. (Keep in mind Horizontal Asymptotes are not usually drawn) Options: as x→−∞, f(x)→1; as x→∞, f(x)→1; as x→−∞, f(x)→−1; as x→∞, f(x)→∞; as x→−∞, f(x)→∞; as x→∞, f(x)→∞; as x→−∞, f(x)→1; as x→∞, f(x)→1;

Back

as x→−∞, f(x)→1

Front

Describe the end behavior of the function.

Back

as x→−∞, f(x)→−∞; as x→∞, f(x)→−∞

Front

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

Back

-∞
-∞

Front

Describe the end behavior of the graph. Options: x →∞, y→⁻∞ and x →⁻∞,y→⁻∞, x →∞, y→∞ and x→⁻∞, y→∞, x →∞, y→∞ and x→⁻∞, y→2, x →∞,y→2 and x→⁻∞, y→∞

Back

x →∞,y→2 and x→⁻∞, y→∞

Front

Back

The end behavior of the graph is x →∞, y→∞ and x→⁻∞, y→0

Front

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient. Identify the degree of the polynomial and the sign of the leading coefficient.

Back

Leading Coefficient Positive
Degree - Even

Front

What is the end behavior of the function f(x) graphed above?

Back

as x → −∞, f(x) → 0

Front

What is the end behavior of h(x)?

Back

as x → −∞, h(x) → −∞; as x → ∞, h(x) → ∞