3
QuizMultiple Choice

Modeling with Functions — Quiz

Question 3 • Financial Math

When calculating the speed of a vehicle depending on the distance it takes to stop, which statement supports that the relationships can be represented by a square root function?

Answer
A
There is an excluded value when the distance is 0.
B
There will be an asymptote as the distance approaches infinity.
C
The range has no restrictions.
D
The domain is the distance and must be positive.

Explanation

If stopping distance is proportional to the square of speed, solving for speed gives a square root function of distance. Distance is the input, and it cannot be negative, so the domain is restricted to nonnegative distances (positive distances for a moving vehicle). This supports choice D, that the domain is the distance and must be positive.

AI-written and checked against the verified answer.

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