Question

Determine a relationship between the x and y values.

X- 0, 1, 2, 3, 4
Y- 1, 2, 5, 10, 17
Write an equation .

Answer 1

The equation is y = x^2 + 1.

Answer 2

`y=x^2+1`

Explanation:

The given table is

x : 0, 1, 2, 3, 4

y : 1, 2, 5, 10, 17

First of all we need to find the relation between x and y values.

For x=0,

`1=0^2+1`

For x=1,

`2=1^2+1`

For x=2,

`5=2^2+1`

For x=3,

`10=3^2+1`

For x=4,

`17=4^2+1`

From the above calculation it is clear that y-value is the sum of square of x-value and 1.

`y=x^2+1`

Therefore, the required function is
`y=x^2+1`.