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Which is true regarding the function?

Option 1: f(–3) = 8
Option 2: f(3) = 5
Option 3: f(8) = 0
Option 4: f(–6) = 10

User Ali Seymen
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1 Answer

3 votes

Options 2 and 3 reflect meaningful stages of plant growth, while Options 1 and 4 involve observations before planting, lacking relevance.

In the context of the growing plant represented by the function f(x), let's analyze the provided options:

Option 1: f(-3) = 8

This statement indicates that 3 days before planting, the plant's height is 8 cm. However, since negative values of x represent days before planting, this option implies that the observation is made before the seed is planted, which is not meaningful in the context of plant growth.

Option 2: f(3) = 5

This statement suggests that after 3 days of planting, the plant's height is 5 cm. This is a plausible and meaningful scenario, where the plant has grown to a height of 5 cm three days after planting.

Option 3: f(8) = 0

The statement implies that eight days after planting, the plant's height has reached ground level (0 cm). This indicates that the plant has stopped growing, possibly having reached maturity or facing adverse conditions.

Option 4: f(-6) = 10

Similar to Option 1, this statement implies an observation before planting, making it less relevant to the context of plant growth.

In summary, Options 2 and 3 reflect meaningful stages of plant growth, while Options 1 and 4 involve observations before planting, making them less applicable in the given scenario.

The probable question may be:

Consider the function f(x), where f(x) represents the height of a growing plant over time. The following options are statements about specific points in time:

Option 1: f(−3)=8 - At 3 days before planting, the plant's height is 8 cm.

Option 2: f(3)=5 - After 3 days of planting, the plant's height is 5 cm.

Option 3: f(8)=0 - Eight days after planting, the plant's height has reached ground level (0 cm).

Option 4: f(−6)=10 - Six days before planting, the plant's height is 10 cm.

Additional Information:

Imagine planting a seed and observing the plant's growth over time. The function f(x) provides the height of the plant (in centimeters) at various days (x). Negative values of x represent days before planting, and positive values represent days after planting.

User Wesley Long
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