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Ymorist [56]
2 years ago
10

Find the domain and range. Graph the relation and determine whether it is a function or not

Mathematics
1 answer:
Monica [59]2 years ago
4 0

The domain is the set of all x-coordinates and

the range is the set of all y-coordinates.

So the domain for this relation is {0, 1, 2, 3, 4}

and the range is {0, -1, -4, -9, -16}.

Now, I graph these points below.

For the relation tobe a function, it must pass the vertical line test.

If we can draw a vertical line that passes through only one point

anywhere on the graph, the relation is a function.

Notice that if you were to draw a vertical line,

no line would intersect two points on the same line.

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kobusy [5.1K]

Answer:

(- 1, 1) and (- 5, - 35)

Step-by-step explanation:

since both equations express y in terms of x, equate the right sides

x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )

2x² + 12x + 10 = 0  ( divide all terms by 2 )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

substitute these values into either of the 2 equations and solve for y

x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )

x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )

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