Answered

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domain and range of f (x)=|x-3|

Sagot :

Heather

Answer:

Domain: −∞ < x < ∞  or  (−∞, ∞)

Range: 0 ≤ y < ∞  or  [0, ∞)

Step-by-step explanation:

    The domain of a function is the function's possible inputs, the x, of the function. Here, any number can successfully be plugged into f(x), so the domain is all real numbers.

    The range of a function is all of its possible outputs, the y, of the function. Here, anything greater than or equal to 0 is a possible y value of f(x). This means our range is anything greater than or equal to 0.

    I have graphed f(x), see attached for the graph of | x - 3|.

View image Heather
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