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Does the function ƒ(x) = 7^x + 3 represent exponential growth, decay, or neither?

Does the function ƒ(x) = 7^x + 3 represent exponential growth, decay, or neither?-example-1

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D)Exponential\: growth

1) Given this exponential equation, let's examine the base of that power:


f(x)=7^x+3

2) Since in general terms, we can describe any exponential function as:


y=ab^x

With respect to the "b" base we can state that:

• b>1, exponential growth

,

• 1>b>0, exponential decay

3) Then we can state the answer as:


D)Exponential\: growth

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User Nick Brunt
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