Answer:
\({(-1, -8), (0, -3), (3, 12)}\)
Step-by-step explanation:
we have
\(y=5x-3\)
we know that
If a set of ordered pairs represent possible inputs and outputs of the function
then
All ordered pairs of the set must be satisfy the function
case A) \({(2, 5), (-3, -12), (-4, -18)}\)
Substitute the value of x and y of each point in the function
Point 1 \((2, 5)\)
\(5=5(2)-3\)
\(5=7\) -------> is not true
The set of case A does not represent possible inputs and outputs of the function
case B) \({(-1, -8), (0, -3), (3, 12)}\)
Substitute the value of x and y of each point in the function
Point 1 \((-1, -8)\)
\(-8=5(-1)-3\)
\(-8=-8\) -------> is true
Point 2 \((0, -3)\)
\(-3=5(0)-3\)
\(-3=-3\) -------> is true
Point 3 \((3, 12)\)
\(12=5(3)-3\)
\(12=12\) -------> is true
The set of case B represents possible inputs and outputs of the function
case C) \({(1, 4), (7, 25), (3, 10)}\)
Substitute the value of x and y of each point in the function
Point 1 \((1,4)\)
\(4=5(1)-3\)
\(4=2\) -------> is not true
The set of case C does not represent possible inputs and outputs of the function
case D) \({(5, 20), (6, 12), (1, 9)}\)
Substitute the value of x and y of each point in the function
Point 1 \((5,20)\)
\(20=5(5)-3\)
\(20=22\) -------> is not true
The set of case D does not represent possible inputs and outputs of the function
