# How do you find the domain and range of #y = - sqrt(1 - x)#?

See below.

or using interval notation:

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The domain of the function is all real numbers x such that ( 1 - x \geq 0 ), which gives ( x \leq 1 ). So, the domain is ( (-\infty, 1] ). The range is all real numbers y such that ( y \leq 0 ), so the range is ( (-\infty, 0] ).

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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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