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What is the domain and range of the function f? Also, find the value of f(0).

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User Amaurys
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Final answer:

The domain of the function is [0, 20], and the range is {10}. The value of f(0) is 10 since the function is a horizontal line at f(x) = 10.

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (f(x)-values). Given the function f(x) as a horizontal line with the equation description, and knowing that the function is defined for the interval 0 ≤ x ≤ 20, we can determine the domain and range.

The domain of f(x) is [0, 20], meaning x can take any value between and including 0 and 20. The function is described as a horizontal line with a constant value, so the range of f(x) is a single value. To find this value, we typically need the equation of the function, but since it's not provided, we assume the constant value from the graph label, which is 10. Therefore, the range is {10}.

For the value of f(0), we substitute x = 0 into the function. Because the function is a horizontal line (constant value), f(0) = 10.

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User Saeed Ur Rehman
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