A rock is thrown from one side of a river to another. The function

Question

gives the height in inches of the rock t seconds after it has been thrown.

Find
. Response area
What does
represent in the context of this problem? Response area
Does it make sense to find
in the context of this problem? Response area
What is a reasonable domain given the context of this problem? Response area

Answer 1

- In the context of this problem, the function represents the height in inches of the rock at a certain time after it has been thrown.
- represents the initial height of the rock when it was thrown.
- It does make sense to find in the context of this problem because it represents the initial height from which the rock was thrown.
- A reasonable domain for this problem would be all real numbers greater than or equal to zero, as time cannot be negative and the rock's height can be measured at any positive time after it has been thrown.