Answer:
Yes, the graph represents the piecewise function.
Step-by-step explanation:
If the graph divide into two pieces that it is a piecewise function. Since the given graph is available in two ices therefore it is a piecewise function.
From the graph it is noticed that the function is parabolic before x=2 and after that the function have constant value 5 from x=2 to x=4 excluding 4.
Since the value of the function is constant for , so
The vertex of the parabola is (0,0) and the other point on the parabola is (-2,4).
So the equation of parabola is,
Where (h,k) is vertex.
Since (-2,4) lies on parabola.
So, the equation of parabola is . Since the function is parabolic before x=2,
Therefore the graph is a piecewise function
