Question

What is the growth rate of the function y = 3 * 2ˣ?
1) 3
2) 2
3) 1
4) 6

Answer 1

The growth rate of the function y = 3 ∙ 2^x is determined by the base of the exponent, which is 2. Therefore, this function will double, or increase by a factor of two, with each step or increase in the variable x. Option 2

Step-by-step explanation:

The function y = 3 ∙ 2x is an exponential growth function. It is important to identify the base of the exponential term to determine the growth rate. The number in front of the exponential, in this case 3, does not affect the growth rate; so we will focus on the base of the exponential, which is 2.

The essential feature of exponential growth is that the value of the function increases by a set factor for each unit increase in x. Specifically, for y = 3 ∙ 2x, the function's value will double for every unit increase in x. Therefore, it will increase by a factor of two with each step along the x-axis. Option 2