What is the domain of the function y=2√x-6
2 answers:
<h2>Answer</h2>
Domain of the function:
In interval notation: [6, ∞)
In set notation: {x: x∈R, x≥6}
<h2>Explanation</h2>Remember that the the domain of the square root function are all the values such is is bigger than zero. We can express the later in set notation: {x: x∈R, x≥0}, or in interval notation: [0, ∞)
This is because the square root is not defined, in the real numbers, for negative values.
So, to find the domain of our function, we just need to set the thing inside the radical grater or equal than zero and solve for x:
The domain of the function is all the numbers bigger than 6, including 6.
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Answer:
(c) output increases, then decreases ...
Step-by-step explanation:
The given function is quadratic, so it has a turning point. Neither linear nor exponential functions have a turning point, so are always increasing or decreasing.*
The second attachment shows a plot of the function with input on the x-axis and output (area of the rectangle) on the y-axis.
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* A linear function that is a horizontal line will be neither increasing nor decreasing.
