End Behavior

Front

What is the degree of the polynomial f(x) = 3x^2 + 4x - 5?

Back

Degree 2 (quadratic)

Front

Determine the end behavior of the graph of f(x) = 3x^4 + 2x - 5.

Back

As x → ∞, f(x) → ∞. As x → -∞, f(x) → ∞.

Front

Which direction does x → -∞ represent?

Back

Left direction on the graph.

Front

What does an odd degree polynomial indicate about its end behavior?

Back

The ends of the graph go in opposite directions.

Front

What is the end behavior of a polynomial with an even degree and a positive leading coefficient?

Back

As x → ∞, f(x) → ∞ and As x → -∞, f(x) → ∞.

Front

What is the end behavior of a polynomial with an odd degree and a positive leading coefficient?

Back

As x → ∞, f(x) → ∞ and As x → -∞, f(x) → -∞.

Front

What is the end behavior of a polynomial with an even degree and a negative leading coefficient?

Back

As x → ∞, f(x) → -∞ and As x → -∞, f(x) → -∞.

Front

What is the end behavior of a polynomial with an odd degree and a negative leading coefficient?

Back

As x → ∞, f(x) → -∞ and As x → -∞, f(x) → ∞.

Front

What does the term 'end behavior' refer to in polynomial functions?

Back

The behavior of the graph of the polynomial as x approaches positive or negative infinity.

Front

How can you determine the end behavior of a polynomial function?

Back

By analyzing the degree and leading coefficient of the polynomial.