Question

ONLY NUMBER 7. HELP PLEASEEEE. I START SCHOOL TOMORROW

Answer 1

Answer:

(x^2) + 1 = y

Step-by-step explanation:

To check, you can just plug in the x values given. It should equal to its given y value.

Answer 2

Answer:

y = x² + 1

Step-by-step explanation:

Consider the differences in the y values

y : 1  2  5   10  17

      1   3   5   7 ← first differences are not constant so not linear

Consider the differences of the first differences

1   3   5   7

  2  2   2← second differences are constant

Because the second differences are constant the relationship is quadratic

The form of the relationship is

y = x² ± c ← where c is a constant

Substitute values of x into the relationship to find what is needed

x = 0 : y = 0² = 0 ← require to add 1 to obtain 1

x = 1 : y = 1² = 1 ← require to add 1 to obtain 2

x = 2 : y = 2² = 4 ← require to add 1 to obtain 5

x = 3 : y = 3² = 9 ← require to add 1 to obtain 10

x = 4 : y = 4² = 16 ← require to add 1 to obtain 17

Hence relationship is y = x² + 1