Question

Describing growth rates consider the function y = 3x2. how do the y-values of this function grow? by adding 3

by adding 9 by multiplying the previous y-value by 3 by adding 3, then 9, then 15, …

Answer 1

The growth of the y-values in the function y = 3x^2 is determined by multiplying the previous y-value by 3 for each increment of x. In other words, the y-values grow by multiplying the previous value by 3, not by adding a fixed number.

So, the growth pattern of the y-values is as follows:

For x = 1, y = 3(1)^2 = 3

For x = 2, y = 3(2)^2 = 12 (3 times the previous value)

For x = 3, y = 3(3)^2 = 27 (3 times the previous value)

For x = 4, y = 3(4)^2 = 48 (3 times the previous value)And so on...

As you can see, each time x increases by 1, the y-value is multiplied by 3, leading to exponential growth.