Which of the following functions is graphed below?

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

Piece-wise function

Please see the attached figure.

Hence, The option C is correct.

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