Question

Consider the graph which function contains the points shown on the graph

Answer 1

B, f(x) = 2x + 6 since y = mx + c

Answer 2

Option: B is the correct answer.

The function is:

B.
`f(x)=2x+6`

Explanation:

By looking at the graph we observe that the three points follow a linear path.

This means that there will exist a line that passes through these three points .

The line will pass through (1,8) , (2,10) , (3,12)

Hence, the equation of line using two points (1,8) and (2,10) is:

`y-8=(10-8)/(2-1)* (x-1)\\\\i.e.\\\\y-8=(2)/(1)* (x-1)\\\\i.e.\\\\y-8=2(x-1)\\\\i.e.\\\\y-8=2x-2\\\\i.e.\\\\y=2x-2+8\\\\i.e.\\\\y=2x+6`