Question

If y − 1 = 4x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

{(1, 4), (2, 8), (3, 12)}
{(4, 1), (8, 2), (12, 3)}
{(0, 1), (1, 5), (2, 9)}
{(1, 0), (5, 1), (9, 2)}

Answer 1

the answer is {(0,1),(1,5),(2,9)}

Answer 2

Answer: {(0, 1), (1, 5), (2, 9)}

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.