How do you find the domain and range of #y=2^(x)#?
The domain is
Given:
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To find the domain and range of the function ( y = 2^{x} ):

Domain: Since any real number can be raised to any power, there are no restrictions on the domain of ( y = 2^{x} ). Therefore, the domain is all real numbers, or ( (\infty, \infty) ).

Range: Notice that as ( x ) approaches positive infinity, ( 2^{x} ) approaches zero, and as ( x ) approaches negative infinity, ( 2^{x} ) approaches infinity. Thus, the range of ( y = 2^{x} ) is ( (0, \infty) ).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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