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Advanced Math / Nonlinear functions Difficulty: Medium

An object was launched upward from a platform. The graph shown models the height above ground, $y$ , in meters, of the object $x$ seconds after it was launched. For which of the following intervals of time was the height of the object increasing for the entire interval?

From $x equals 0$ to $x equals 2$

From $x equals 0$ to $x equals 4$

From $x equals 2$ to $x equals 3$

From $x equals 3$ to $x equals 4$

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Explanation

Choice A is correct. It's given that the variable $y$ represents the height, in meters, of the object above the ground. The graph shows that the height of the object was increasing from $x equals 0$ to $x equals 2$ , and decreasing from $x equals 2$ to $x equals 4$ . Therefore, the height of the object was increasing for the entire interval of time from $x equals 0$ to $x equals 2$ .

Choice B is incorrect. The height of the object wasn't increasing for this entire interval of time, as it was decreasing from $x equals 2$ to $x equals 4$ .

Choice C is incorrect. The height of the object was decreasing, not increasing, for this entire interval of time.

Choice D is incorrect. The height of the object was decreasing, not increasing, for this entire interval of time.