# How do you find the domain and range of #h(x)= x^2 - 5#?

Domain :

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To find the domain of h(x), determine all possible values of x for which the function is defined. Since h(x) = x^2 - 5 is a polynomial function, it is defined for all real numbers. Therefore, the domain of h(x) is all real numbers, or (-∞, ∞).

To find the range of h(x), consider the behavior of the function. Since h(x) = x^2 - 5 is a quadratic function with a positive leading coefficient, its graph opens upwards. This means that the lowest point on the graph occurs at the vertex, which is at (0, -5). Therefore, the range of h(x) is all real numbers greater than or equal to -5, or [ -5, ∞).

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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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