Answer:
Option C.
Explanation:
The given graph is a complex of two function.
(1) One is a straight line representing linear function
(2) Parabola representing the quadratic function.
(1) The given line has y intercept = 6 and value of functions is reducing with the value of x
Since there is a solid dot (point) at x = 1 so there will be a notation of less the equal to
Therefore, linear function is y = x + 6 x ≤ 1
(2) Parabola starts with a hollow point at x = 1
showing a vertical shift of 3 units since starting point is hollow and the value is increasing
Therefore, value of x will be greater than one and the function will be
y = x² + 3, x > 1
Finally the function are Option C.
y = x² + 3, x > 1
x + 6, x ≤ 1