Answer:
The given table represents a function f(x) = y = 2x+3
The upper graph
Step-by-step explanation:
We will write the equation of the right line in the explicit (slope) form
y = ax+b
We will take two points from the given table
A(-1,1) and B(0,3) and insert their coordinates in the equation y=ax+b and get
A(-1,1) => 1 = (-1)*a+b => -a+b=1
B(0,3) => 3=0*a+b => 3= 0+b => b=3
Now we will insert b=3 in the equation -a+b=1 and get
-a+3=1 => a=3-1 => a=2
Now we will insert a=2 and b=3 in the equation y=ax+b and get
equation of the function
y = 2x+3 = f(x) The upper graph.
Good luck!!!
