Question

Select the function that matches the graph.

Answer 1

y = 3x + 1 is the correct answer.

Answer 2

y = 3x + 1 is the required function.

Explanation:

We are given with a graph

We have to find function for the graph,

From graph, Point ( 0 , 1 ) lies on line.

Function 1),

y = 3x - 1

LHS = y = 1

RHS = 3x - 1 = 3×0 - 1 = -1

LHS ≠ RHS

Thus, this is not function of graph.

Function 2),

y = 3x + 1

LHS = y = 1

RHS = 3x + 1 = 3×0 + 1 = 1

LHS = RHS

Thus, this is function of the graph.

Function 3),

y = 3x

LHS = y = 1

RHS = 3x = 3×0 = 0

LHS ≠ RHS

Thus, this is not function of graph.

Function 4),

y = 3x² + 1

This function is not linear

So, it can not be a straight line.

Thus, It is not function of graph.

Therefore, y = 3x + 1 is the required function.