Question

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

Answer 1

Exponential decay

Explanation:

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Answer 2

Answer: B. Exponential decay

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.