Which statement is true about the end behavior of the graphed function?

Answer:

The correct answer is D.

Detailed explanation:

Analyze the given graph.

As x approaches either positive or negative infinity, the function's values tend toward positive infinity.

The end behavior can be represented as follows:

Now, consider the options:

Option A is incorrect because when x → ∞, the function also goes to ∞.

Option B is incorrect since the function does not approach positive infinity as x → 0.

Option C is wrong because as x → -∞, the function does not level out near zero.

Option D is correct because as x → -∞, the function value tends to positive infinity.

Thus, D is the right choice.

Answer:

The correct choice is Option D (as x approaches negative infinity, the function's values rise towards positive infinity).

Step-by-step explanation:

The graph displayed is a cubic polynomial characterized by two turning points and three x-intercepts. To determine the true statement, evaluate each option carefully.

Option A): The graph climbs after the second turning point, indicating that as x moves toward positive infinity, the function also heads to positive infinity. This makes option A incorrect.

Option B): This is false because the graph clearly shows that f(0) = 0, meaning at x=0, the function value is zero.

Option C): This is incorrect since the function's value equals zero at x=0, and as x decreases toward negative infinity, the function climbs towards positive infinity, not zero. Hence, Option D is accurate.