Answer: {(0, 1), (1, 5), (2, 9)}
Step-by-step explanation:
Given linear equation: y-1=4x which can be rewritten as
y=4x+1
To find the set which represents possible inputs and outputs of the function. Let's check all the options
A. {(1, 4), (2, 8), (3, 12)}
at x=1
y=4(1)+1
⇒y=5≠4
Thus this set is not the required set.
B. {(4, 1), (8, 2), (12, 3)}
at x=4
y=4(4)+1
⇒y=16+1=17≠1
Thus this set is not the required set.
C.{(0, 1), (1, 5), (2, 9)}
at x=0
y=4(0)+1
⇒y=1
Thus this set is the required set represents possible inputs and outputs of the function.
D. {(1, 0), (5, 1), (9, 2)}
at x=1
y=5≠0
Thus this set is not the required set.
