Option C
{(0, 1), (1, 5), (2, 9)} represents possible inputs and outputs of the function
Solution:
Given function is:
y -1 = 4x
y = 4x + 1
To find the set which represents possible inputs and outputs of the function. Let's check all the options
Option A { (1, 4),(2, 8), (3, 12) }
Let us use the ordered pair (1, 4)
Substitute (x, y) = (1, 4) in given function
4 = 4(1) + 1
4 = 4 + 1
[tex]4\neq 5[/tex]
Thus this set is not the required set
Option B {(4, 1), (8, 2), (12, 3)}
Let us use the ordered pair (4, 1)
Substitute (x, y) = (4, 1) in given function
1 = 4(4) + 1
1 = 16 + 1
[tex]1\neq 17[/tex]
Thus this set is not the required set
Option C {(0, 1), (1, 5), (2, 9)}
Let us use the ordered pair (0, 1)
Substitute (x, y) = (0, 1) in given function
1 = 4(0) + 1
1 = 1
Thus this set is the required set represents possible inputs and outputs of the function.
Option D {(1, 0), (5, 1), (9, 2)}
Let us use the ordered pair (1, 0)
Substitute (x, y) = (1, 0) in given function
0 = 4(1) + 1
0 = 4 + 1
[tex]0\neq 5[/tex]
Thus this set is not the required set
