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Butoxors [25]
3 years ago
11

Write a function to represent the set of ordered pairs. {(2, -2), (3, 8), (4, 22), (5, 40)}

Mathematics
1 answer:
natali 33 [55]3 years ago
4 0

Answer:

y = 2x² - 10

Step-by-step explanation:

We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).

<u>x</u>    <u> y</u>    <u>y/2</u>    <u>y/2 + 5 </u>

2   -2      -1           4

3    8       4           9

4  22      11          16

5  40    20         25

It looks like all y-values are multiples of 2.

Let's divide them by 2 (Column 3).

The numbers don't increase evenly. We may have a quadratic function.

If we add 5 to each quotient, we get a set of values equal to x² (Column 4).

y/2 +   5 = x²

y     + 10 = 2x²

y            = 2x² - 10

The function is y = 2x² - 10.

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