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.
The solution to this equation is: x<7
