Question

Heather has the equation y = 2 * 3^x + 1. She wants to graph a function that represents exponential decay. What should she change in her equation?A) change the 2 to a 1/2B) change the 3 to a 1/3C) change the + 1 to a - 1D) change the x to a 2

Answer 1

We have that:

- Raising a whole number to an exponent will make the value increase.

- Raising a fraction to an exponent, however, will make the value decrease.

- The +1 at the end is insignificant.

Therefore, given the function:

$y=2\cdot3^x+1$

To find a new function that represents the exponential decay we must change the number 3.

Answer:

B. Change the 3 to a 1/3