<h3>Domain: (-5, 3]</h3><h3>Range: [-4, 5)</h3>
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Explanation:
The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.
So x spans from -5 to 3, excluding -5 but including 3. We would write
which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.
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The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.
So the range is the set of y values such that
which in interval notation would be written as [-4, 5)
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So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.
Answer:
These groups hoped to drive Austria Hungary from the Balkans and establish a 'Greate Serbia'
Step-by-step explanation:
A unified state for all slaving people,it was this pan-slavic nationalism that inspired the assassination of Archduke Franz Ferdinand in Sarajevo in June 1914.
18=2*3*3=2*3²
72=2*2*2*3*3=2³ *3²
√18+√72=√(2*3²) +√(2³ * 3²)=3√2 + 3*2√2=3√2 + 6√2=9√2
Answer: √18+√72=9√2
V = 0.5*b*h*l
v = 0.5*4.8*3.2*7
v = 0.5*107.52
v = 53.76cm3