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

1. 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