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Piecewise Defined Functions

Question 4 • TN-Algebra II B SC 26-27 (For Credit)

The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented by . Which statements about the scenario are true? Check all that apply.The y-intercept of the function is (0, 1).1% of the crop’s seeds were sprouted at the start.The limiting value is 100, because the percentage of sprouted seeds cannot exceed 100%.The number of sprouted seeds increases quickly until 5% of the seeds sprout, and then the growth slows. The function has an asymptote at x = 99, which is the maximum number of seeds that can sprout.

Question illustration
Answer
A
The y-intercept of the function is (0, 1).
B
1% of the crop’s seeds were sprouted at the start.
C
The limiting value is 100, because the percentage of sprouted seeds cannot exceed 100%.
D
The number of sprouted seeds increases quickly until 5% of the seeds sprout, and then the growth slows.
E
The function has an asymptote at x = 99, which is the maximum number of seeds that can sprout.
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