Question

how does the graph of an exponential decay function differ from an exponential growth function? it falls to the right it rises to the right it has a negative y - intercept it is a straight line

Explanation:

Step1: Recall exponential function properties

Exponential growth function \(y = a\cdot b^{x}\) (\(a>0,b > 1\)): as \(x\) increases, \(y\) increases. Its graph rises to the right.
Exponential decay function \(y=a\cdot b^{x}\) (\(a>0,0 < b<1\)): as \(x\) increases, \(y\) decreases. Its graph falls to the right.
Both exponential growth and decay functions have \(y - \)intercept \(y=a>0\) (when \(x = 0,y=a\cdot b^{0}=a\)) and are not straight - line (they are non - linear functions).

Answer:

It falls to the right