How do you find the domain and range of #sqrt(16x^2)#?
Domain :
Range:
graph{(16x^2)^0.5 [10, 10, 5, 5]}
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To find the domain and range of the function ( \sqrt{16x^2} ):

Domain (input values): The expression inside the square root must be nonnegative for realvalued output. Therefore, we need to find where ( 16x^2 \geq 0 ).
Solving ( 16x^2 \geq 0 ) will provide the intervals where the expression is nonnegative, which will be the domain of the function.

Range (output values): Since the square root of a real number is always nonnegative, the output values will also be nonnegative.
By solving the inequality ( 16x^2 \geq 0 ), we can determine the domain. Then, knowing that the output values are nonnegative, we can conclude the range.
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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.
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