How do i solve this?
Write a rule for the function.
Input,x 0 1 2 3
Output,y 3 5 7 9
Assistance needed.
what's the relationship between the input and output?
0->3 (add 3+0)
1->5 (add 3+1)
2->7 (add 3+2)
3->9 (add 3+3)
so...
so you're doubling the original number (input) and adding three
how would you express the relationship between the input and output algebraically?
3 - 0 = 3 for x = 0
5 - 1 = 4 for x = 1
7 - 2 = 5 for x = 2
9 - 3 = 6 for x = 3
y = x + 3 + x = 2 x + 3
To find a rule for the function, we need to identify the relationship between the input values (x) and the output values (y).
Looking at the given input and output values:
Input,x 0 1 2 3
Output,y 3 5 7 9
We can observe that the output values follow a certain pattern. By examining the data, we can determine that the output values are obtained by multiplying the corresponding input value by 2 and adding 3. Therefore, the rule for this function can be written as:
y = 2x + 3
Now, you can use this rule to find the output (y) for any given input (x) value.