PLEASE HELP ME I WILL GIVE OUT BRAINLIEST THANK YOU SM

y = x³ + 4

Step-by-step explanation:

Consider the differences between the values of y, that is

5  ,   12  ,  31  ,  68  ,  129

    7        19     37      61 ← not constant

Now consider the differences of the first differences

  7  ,  19  ,  37  ,  61

      12      18     24 ← not constant

Now consider the differences of the second differences

   12  ,  18  ,  24

        6        6 ← constant

Since the third differences are constant this indicates a cubic, that is

y = x³ + c ( where c is a constant )

Substitute the values of x into the equation

y = 1³ = 1 ← require to add 4 to obtain the required 5

y = 2³ = 8 ← require to add 4 to obtain the required 12

y = 3³ = 27 ← require to add 4 to obtain the required 31

y = 4³ = 64 ← require to add 4 to obtain the required 68

y = 5³ = 125 ← require to add 4 to obtain the required 129

Thus the equation is

y = x³ + 4

the correct answer is d

hope this

first one because it can't have a fraction in it

step-by-step explanation: