This is a function since it passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the curve.
The domain is the set of numbers x such that x is between -3 and +3 excluding those endpoints. In other words, the domain is -3 < x < 3. We never actually get to either endpoint because of the vertical asymptotes.
The range is the set of all real numbers. It is possible to get any output we want depending on the specific input.
The area of the semicircle is A = 1187.9 cm².
<h3>What is the area of a circle?</h3>
The area of a circle with a radius of r is A = πr².
Given that, the diameter of the semicircle is 55 cm.
The radius of the semicircle is,
r = 55/2
The area of a semicircle is given by,
A = (1/2)πr²
Substitute the values,
A = (1/2)π(55/2)²
A = 1187.9
Hence, the area of the semicircle is A = 1187.9 cm².
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Option C. all real numbers greater than 0 is the correct answer
Further explanation:
Domain is the set of all inputs on which the function is defined or real.
The given function is:
As the function involves a square root, we have to avoid negative numbers.
- All positive real numbers will produce defined output so the positive real numbers will be included in the domain.
- If we look at negative real numbers, we will be taking square root of a negative number which will not result in a real number
So the domain will only include positive real numbers.
Hence, Option C. all real numbers greater than 0 is the correct answer.
Keywords: Domain, Domain of radical functions
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Answer:
vertical and horizantal
Step-by-step explanation:
