## Algebra 2 Common Core

In order to determine whether this graph represents exponential growth or exponential decay, we must first remember that exponential growth and decay functions look like this: ${y}$ = ${a}$${b}$$^{x}$ ${a}$ = y-intercept ${b}$ = Rate of growth/decay If ${b}$ is between 0 up to but not including 1, the function is exponential decay. If ${b}$ is greater than 1, the function is exponential growth. In the case of this question, ${b}$ is equal to 0.95, which is less than one but greater than zero. Therefore, this function is an exponential decay function. To find the y-intercept, look at ${a}$. In this case, there does not appear to be an ${a}$, so it must be equal to 1. This function intersects the y-axis at 1 units up, or (0, 1)