Give an example of a function with a domain of (Negative Infinity, 0 Give an example of a function with a range of [4, Infinity)

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Give an example of a function with a domain of (Negative Infinity, 0 Give an example of a function with a range of [4, Infinity)

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Jezebel 4 years 2021-08-10T14:22:54+00:00 1 Answers 31 views 0

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  1. Delwyn
    0
    2021-08-10T14:24:21+00:00
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    Answer:

    Function f(x)=\sqrt{-x} has domain (-\infty ,0]

    Function f(x)=x^2+4 has range [4 ,\infty )

    Step-by-step explanation:

    Domain of the function f(x) refers to the values of x and the range refers to the values that the function f(x) takes for various values of x.

    Consider a function f(x)=\sqrt{-x}

    As value within the square root is non-negative.

    -x\geq 0\\x\leq 0

    So, domain is (-\infty ,0]

    Now, consider a function f(x)=x^2+4

    Clearly,

    x^2\geq 0\\x^2+4\geq 4\\f(x)\geq 4

    So,

    range of f(x) is [4 ,\infty )

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