Algebra 2 Common Core Regents Quiz

What is the end behavior of a function where as x approaches negative infinity, f(x) approaches infinity?

• As x approaches negative infinity, f(x) approaches negative infinity.

• As x approaches infinity, f(x) approaches infinity.

• As x approaches negative infinity, f(x) approaches infinity.

• As x approaches infinity, f(x) approaches negative infinity.

Which of the following choices can be immediately eliminated based on the condition that as x approaches negative infinity, f(x) approaches infinity?

• A graph where all values are negative.

• A graph where x approaches negative infinity and f(x) approaches negative infinity.

• A graph where all values are positive.

• A graph where x approaches infinity and f(x) approaches infinity.

Why can choice number two be eliminated based on the given conditions?

• It shows a negative relationship between x and f(x).

• It shows both x and f(x) approaching positive values.

• It shows a positive relationship between x and f(x).

• It shows both x and f(x) approaching negative values.

What is the characteristic of the function x^4 + 2x + 1 that makes it unsuitable for the given end behavior conditions?

• It forms a linear graph.

• It forms a parabola.

• It forms a cubic graph.

• It forms a hyperbola.

Which function satisfies the condition where as x approaches infinity, f(x) approaches negative infinity?

• x^3 - 2x + 6

• -x^3 + 2x - 6

• x^4 + 2x + 1

• x^2 + 3x + 2