Algebra-1

To determine which function demonstrates exponential growth, let’s analyze the base of the exponent in each function. The general form of an exponential function is:

where:

1.a is the initial value or coefficient,

2.b is the base of the exponent,

3.x is the exponent.

 

Criteria for Exponential Growth:

Base b > 1: The function exhibits exponential growth because y increases rapidly as x increases.

 

A.

Base: 0.06 (less than 1)

Behavior: Exponential decay. As x increases, y decreases.

 

B.

Base: 0.94 (less than 1)

Behavior: Exponential decay. As x increases, y decreases.

 

C.

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