Identify the type of function represented by f(x)=3•(0.5)^x
a. increasing linear
b. exponential decay
c. exponential growth
d. decreasing linear

B. Exponential decay

Step-by-step explanation:

Let x = independent variable  .

The linear function is given by : , 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 : , 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:

This function is exponential decay function where b= 0.5<1 .

Hence, the correct answer is B. Exponential decay.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents