Algebra-1

Identifying Exponential Growth

To determine which function exhibits exponential growth, we need to 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.

 

Exponential Growth Criteria:

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

 

A.

Base: 0.7 (less than 1)

Behavior: Exponential decay.

 

B.

Base: 1.4 (greater than 1)

Behavior: Exponential growth.

 

C.

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