Answers25-26 ALG REAS B DLOC – 3054157Unit Test — Unit testQuestion 9
9
QuizMultiple Choice

Unit Test — Unit test

Question 9 • 25-26 ALG REAS B DLOC – 3054157

The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers.

Answer
T
The limitation for the reasonable range restricts it to positive real numbers.
T
The limitation for the reasonable range restricts it to positive whole numbers.
T
The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.
T
The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.

Explanation

The bridge’s height is given by f(x) = 4x − 0.1x². Since the x-axis represents the ground, reasonable heights cannot be below 0. The parabola reaches its maximum at x = 20, where f(20) = 80 − 40 = 40, so the reasonable range is all real numbers from 0 through 40, inclusive. Therefore, choice C is correct; the heights need not be whole numbers.

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