Y^9-y^3 can also be written as y^9-y^3=x
so it is also equivalent to x+y^3=y^9
and x-y^9=-y^3
Question:
The recursive function , represents the nth term of a sequence. Determine the explicit function
Answer:
Step-by-step explanation:
Given
Required
Write an explicit formula
Let n = 1
Let n = 2
Let n =3
Let n = 4
So, we have:
Following the above pattern:
Open bracket
A) Growth: f(x) because it is getting larger exponentially due to an integer greater than 1 being raised to an exponent.
b) Decay: g(x) because it is getting smaller exponentially due to an integer less than 1 being raised to an exponent.
c) Have the lead exponent being not equal to 1.
d) Whether or not the number being raised to the exponent is greater than or less than 1.
e) f(x) because it is an exponential growth function, which none of the others are.