Find the vertex of the given function. f(x)=x-51 +10 The vertex is at (5,10) What are the domain and range

Question

Find the vertex of the given function.
f(x)=x-51 +10
The vertex is at (5,10)

What are the domain and range of the function?
domain: (-∞, ∞); range: f(x) 2-5
domain: (-∞, 0); range: f(x) ≥ 10
domain: x25; range: f(x) > 10
domain: f(x) 25; range: (-∞, ∞)

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Sigridomena 4 days 2023-01-23T21:08:42+00:00 1 Answer 0 views 0

Answer ( 1 )

    0
    2023-01-23T21:09:48+00:00
    The vertex of the function is at (5, 10)
    For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10

    Vertex, domain and range of a function

    The vertex of a quadratic or linear function is in the form
    y =  a(x – h)^2 + k
    where;
    (h, k) is the vertex of the function
    Given the function expressed as;
    f(x) = |x-5| + 10
    On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)
    For the domain and range
    Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.
    For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10
    Learn more on vertex, domain and range here: https://brainly.com/question/544653
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