A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number
1 answer:
In x th month, members = . Option D.
Step-by-step explanation:
Given,
Initially number of members = 3
Every month each member brought 1 new member.
To find the number of members after x months.
<u>Solution:</u>
In 1st month, members = 3
In 2nd month, members = 3×3 = 9 = 3²
In 3rd month, members = 9×9 = 81 =
In 4th month, members = 81×81 = 81 = 6561 =
Hence,
In x th month, members =
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Using translation concepts, it is found that the correct option regarding the function is:
The function h(x) is decreasing on the interval (3, ∞).
<h3>What is a translation?</h3>A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is given by:
Which increases on (0, ∞).
The translated function is given by:
With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:
The function h(x) is decreasing on the interval (3, ∞).
More can be learned about translation concepts at brainly.com/question/4521517
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