Answer: B. Exponential decay
Step-by-step explanation:
Let x = independent variable .
The linear function is given by : [tex]f(x)=mx+c[/tex] , where m= slope or rate of change of y with respect to x and c = constant represents the initial value of function.
When m < 0 , then we call it decreasing linear function
When m > 0 , then we call it decreasing linear function or equation.
When m = 0 , then we call it constant function .
The exponential function is given by :[tex]f(x)=ab^x[/tex] , where a is the initial value of function and b is the multiplicative growth / decay rate.
When b<1 , then we call it exponential decay function.
When b>1 , then we call it exponential growth function.
Given function: [tex]f(x)=3\cdot(0.5)^x[/tex]
This function is exponential decay function where b= 0.5<1 .
Hence, the correct answer is B. Exponential decay.
