Answer:
Step-by-step explanation:
We have been given graph of a piece-wise function. We are asked to write the equation for the given piece-wise function.
We can see that for x values greater than or equal to 0 and less than 1, the function is a line.
We can see that our given line is a horizontal line, so it will be in form intersecting y-axis at
.
The given crosses y-axis at (0,2), therefore, its equation would be .
We can see that for x values greater than 1, the graph is a reflected and shifted square root function.
The square root function is reflected across x-axis and has a vertex at (1,1), therefore, our function for second part would be .
The function is not defined at and it can a jump continuity.
Therefore, our required piece-wise function would be: