Question

I'd really appreciate it if anyone could help! :)

The following table below represents a function.

x | y
-2 | -1
-1 | 1
0 | 3
1 | 5
2 | 7

Choices will be below.

Answer 1

The given table represents a function f(x) = y = 2x+3

The upper graph

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!!!