Question

Identify the type of function represented by f(x)=3•(0.5)^x

Answer 1

Answer: B. Exponential decay

Step-by-step explanation:

Let x = independent variable  .

The linear function is given by : $f(x)=mx+c$ , 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 :$f(x)=ab^x$ , 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: $f(x)=3\cdot(0.5)^x$

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

Hence, the correct answer is B. Exponential decay.

Answer 2

Answer:

Exponential decay

Step-by-step explanation:

Took the test confirmed on Apex~~~ B.