Question

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.

Answer 1

Only: "The function increases at a constant multiplicative rate."

Reason: successive values are 2, 3, 4.5, 6.75, each obtained by multiplying the previous by 3/2. The initial value f(0)=2, so the other statements are false.