The truth of the given function that we have here is The function increases at a constant multiplicative rate.
<h3>How to solve for the multiplicative rate of the constant</h3>
The table is given as
x 0 1 2 3
f(x) 2 3 4.5 6.75
We have x ranging from 0 to 3 while y ranges from 2 to 6.75.
The observations that we can make about the y values is that they produce the next value at the same rate of multiplication.
This is shown here
2 x 1.5 = 3
3 x 1.5 = 4.5
4.5 x 1.5 = 6.75
Hence we can conclude that it increases at a constant multiplicative rate of 1.5.
<h3>Complete question</h3>
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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