Answer:
[tex]y=x^2+1[/tex]
Step-by-step 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,
[tex]1=0^2+1[/tex]
For x=1,
[tex]2=1^2+1[/tex]
For x=2,
[tex]5=2^2+1[/tex]
For x=3,
[tex]10=3^2+1[/tex]
For x=4,
[tex]17=4^2+1[/tex]
From the above calculation it is clear that y-value is the sum of square of x-value and 1.
[tex]y=x^2+1[/tex]
Therefore, the required function is [tex]y=x^2+1[/tex].
