# How do you find the range of #f(x)=3^(x+9)+4#?

The range is

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To find the range of the function ( f(x) = 3^{x+9} + 4 ), we consider the behavior of the exponential function ( 3^{x+9} ). Since ( 3^{x+9} ) is always positive for any real value of ( x ), adding 4 to it will shift the graph of the exponential function upwards by 4 units. Therefore, the range of the function ( f(x) = 3^{x+9} + 4 ) is all real numbers greater than 4. In interval notation, the range is ( [4, \infty) ).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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