Q
QuestionMathematics

How do you find the domain and range without a graph?
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Answer

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Step 1
: To find the domain of a function, we need to find all possible values of the input (usually x) for which the function is defined.

This means finding any restrictions on the input values.

Step 2
: Consider the function f(2$) = √(x - 3).

$$x - 3 \geq 0
The square root function is only defined for non-negative numbers, so we need to ensure that the expression inside the square root is greater than or equal to zero:

Final Answer

The domain of the function f(2$) = √(x - 3) is [3, ∞), and the range is [0, ∞).