Question 1

What is the end behavior of a polynomial function whose leading term is 2x^3?

Accepted Answer

As x approaches positive infinity, the function increases without bound, and as x approaches negative infinity, the function decreases without bound.

Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches negative infinity, the function increases without bound.

Answer

As x approaches positive infinity, the function approaches a specific number, and as x approaches negative infinity, the function decreases without bound.

Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches negative infinity, the function approaches a specific number.

Question 2

What is the end behavior of a quadratic function like y = 3x^2 - 2x + 5?

Accepted Answer

As x approaches positive or negative infinity, the function increases without bound.

Answer

As x approaches positive or negative infinity, the function decreases without bound.

Answer

As x approaches positive or negative infinity, the function approaches a specific number.

Answer

As x approaches positive or negative infinity, the function oscillates between positive and negative values.

Question 3

What is the end behavior of a cubic function such as y = x^3?

Accepted Answer

As x approaches positive infinity, the function increases without bound, and as x approaches negative infinity, the function decreases without bound.

Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches negative infinity, the function increases without bound.

Answer

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

Answer

As x approaches positive infinity, the function approaches 0, and as x approaches negative infinity, the function approaches 0.

Question 4

What is the end behavior of an absolute value function like y = |x - 2|?

Accepted Answer

As x approaches positive infinity, the function increases without bound, and as x approaches negative infinity, the function also increases without bound.

Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches negative infinity, the function decreases without bound.

Answer

As x approaches positive infinity, the function approaches a specific number, and as x approaches negative infinity, the function increases without bound.

Answer

As x approaches positive infinity, the function increases without bound, and as x approaches negative infinity, the function decreases without bound.

Question 5

What is the end behavior of a logarithmic function such as y = log(x)?

Accepted Answer

As x approaches positive infinity, the function approaches infinity, and as x approaches 0^+ (approaches 0 from the positive side), the function goes to negative infinity.

Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches 0^+ (approaches 0 from the positive side), the function goes to positive infinity.

Answer

As x approaches positive infinity, the function approaches a specific number, and as x approaches 0^+ (approaches 0 from the positive side), the function goes to positive infinity.

Answer

As x approaches positive infinity, the function increases without bound, and as x approaches 0^- (approaches 0 from the negative side), the function approaches negative infinity.

Question 6

What is the end behavior of a polynomial function with a leading coefficient of -4 and an even degree?

Accepted Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches negative infinity, the function also decreases without bound.

Answer

As x approaches positive infinity, the function decreases without bound, and as x approaches negative infinity, the function increases without bound.

Answer

As x approaches positive infinity, the function approaches a specific number, and as x approaches negative infinity, the function decreases without bound.

Answer

As x approaches positive infinity, the function increases without bound, and as x approaches negative infinity, the function also increases without bound.

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