(08.01, 08.02, 08.03 HC)
1 answer:
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Answer:
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
The relation is a function.
Step-by-step explanation:
A <u>relation</u> is any set of ordered pairs, which can be thought of as (input, output).
A function is a <em>relation</em> in which no two ordered pairs have the same first component and different second components.
Remember that a function can only take on <u>one output for each input</u>. We cannot plug in a value and get out two values.
The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places <u><em>at exactly one point</em></u>, then the relation is a function.
I did the Vertical Line Test on your given graph. As you can see from the attached screenshot, each vertical line crosses the graph only once. Therefore, the given relation is a function.
The <u><em>domain</em></u> of the given relation is the set of x-values, while the <em><u>range</u></em> is the set of y-values. You'll have to list the ordered pairs in order to determine the domain and range of the given relation.
Relation: {(-4, -1), (-2, 1), (1, -2), (2, 4), (4, -4)}.
Domain: {-4, -2, 1, 2, 4}
Range: {-4, -2, -1, 1, 4}
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The question is an illustration of perimeters.
The amount of patio to remove to install the pool is 8 feet.
From the question, we have:
The perimeter of the patio is:
A 1ft walkway means that;
1ft would be subtracted from both sides of the patio before installing the pool
So, the perimeter of the patio in terms of the length of the pool is:
Equate both expressions
Divide both sides by 4
Subtract 2 from both sides
So, the perimeter of the pool is:
The amount of patio to remove is:
So, we have:
Hence, 8ft of the patio would be removed to install the pool
<em>See attachment for illustration</em>
Read more about perimeters at:
