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2 answers:
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Answer:
<em>Interval notation: [0, 2.236]</em>
<em>Set Builder notation: </em>
Step-by-step explanation:
Given that:
Equation of height of the ball dropped from a height of 10 foot, as:
Where is the time since the ball was dropped.
To find:
The domain of the function in Interval and set builder notation.
Solution:
<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.
Here, input is time.
We can not have negative values for time.
Therefore, starting value for time will be <em>0 seconds</em>.
And the value of height can not be lesser than that of 0 ft.
Maximum value for time can be 2.236 seconds.
Therefore the domain is:
<em>Interval notation: [0, 2.236]</em>
<em>Set Builder notation: </em>
- Set up
- Combine like terms
- Take out a common factor
- Rearrange to remove a starting negative coefficient inside the parentheses
The simplification is .