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A table representing the function f(x) = 2(three-halves) Superscript x is shown below. A 2-column table has 4 rows. The first column is labeled x with entries (0, 1, 2, 3). The second column is labeled f (x) with entries 2, 3, 4.5, 6.75. What is true of the given function? The function increases at a constant additive rate. The function increases at a constant multiplicative rate. The function has an initial value of 0. As each x value increases by 1, the y values increase by 1.

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Answer:

The function increases at a constant multiplicative rate.

Step-by-step explanation:

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The correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".

Given information:

The value of function f(x) is shown in the below table:

x            0   1    2      3

f(x)         2   3   4.5   6.75

So, the value of x changes from 0 to 3, and the value of function f(x) changes from 2 to 6.75.

Following observations can be made using the given values:

  • The function starts with an initial value of 2.
  • The value of function increases with a constant multiplicative rate. The constant rate is 1.5 times.
  • The increase of value of function is not constant as it is multiplicative.

From the above conclusions and the given options, it can be said that the correct option is 2.

Therefore, the correct conclusion about the function is 2: "the function increases at a constant multiplicative rate".

For more details, refer to the link:

https://brainly.com/question/21256841