Answer:
y = 4n + 2
Step-by-step explanation:
Let's look for some sort of pattern in the numbers by arranging them in columns. The first thing that catches our attention is that the outputs are all increasing by 4 each time the input increases by 1. The rate of change for this relationship is 4. y goes up 4 each time x increases by 1. We can write this as y = 4x.
Now let's look at where the function starts. Its value with 1 is already 6. If it is increasing by 4 each time x increases by 1, then the value of y at 0 must already be 2. So our function must include a "+2" to represent this situation: y = 4x + 2.
Calculate the resulting values for y = 4x + 2 and compare with the information provided.
Input Output Calculated (y = 4x + 2)
1 6
2 10
3 14
4 18
The function is y = 4x + 2.
The value of the function when x is n would be:
y = 4n + 2
