Question

A rocket is launched from a launch site. Its distance from the ground, h, in hundreds of feet, t, seconds after it is launched can be modeled by the graph shown.

Part A: One of the roots of the graph is Response area. It represents Response area

Part B: the y-intercept for the function is Response area. It represents Response area



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Answer 1

To address your questions about the graph of the rocket's height \( h(t) \) as a function of time \( t \):

### Part A: Root of the Graph
A root of the graph is the value of \( t \) where the height \( h(t) \) is equal to zero. This represents the point in time when the rocket is at ground level.

**Response Area for Part A:**
"The root of the graph represents the time when the rocket is on the ground, indicating the moment the rocket has completed its launch and is no longer elevated above the ground."

### Part B: Y-Intercept of the Function
The y-intercept of the function is the value of \( h(t) \) when \( t = 0 \). This indicates the initial height of the rocket at the moment of launch.

**Response Area for Part B:**
"The y-intercept for the function represents the initial height of the rocket at the moment it is launched, which is typically at ground level (represented as 0 in hundreds of feet) unless indicated otherwise in the context of the problem."

Feel free to ask if you have further inquiries or need additional clarification!