Question

1. an object was launched upward from a platform. the graph shown models the height above the ground, y, in meters, of the object x seconds after it was launched. for which of the following intervals of times was the height of the object increasing for the entire interval? a. from x = 0 to x = 2 b. from x = 0 to x = 4 c. from x = 2 to x = 3 d. from x = 3 to x = 4

Explanation:

Step1: Analyze the graph

The height $y$ is on the vertical - axis and time $x$ is on the horizontal - axis. The height of the object is increasing when the graph is going up as we move from left to right.

Step2: Check each interval

• For option a: From $x = 0$ to $x = 2$, as $x$ increases from $0$ to $2$, the value of $y$ (height) is increasing.
• For option b: From $x = 0$ to $x = 4$, the height increases from $x = 0$ to $x = 2$ and then starts decreasing from $x = 2$ to $x = 4$.
• For option c: From $x = 2$ to $x = 3$, the height is decreasing.
• For option d: From $x = 3$ to $x = 4$, the height is decreasing.

Answer:

A. From $x = 0$ to $x = 2$