ANSWER
Option B is correct
Step-by-step explanation
On the interval,
![x \: < \: 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pecyyjeknay6j2j30vi7jhv7vwev0hqsxd.png)
The function is a straight line graph with x-intercept
![x = 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f94zyyoq5pguxleii2lctl83hdz0s0bme0.png)
and y-intercept
![y = - 2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p3oe19xoi4i3tkhu0ybtgbikq3dc0pjkss.png)
The equation of this line is
y=2x-2
On the interval, 2≤x≤5,
The equation is the constant function, y=4
On the interval x>5,
The equation is y=x+1
The correct choice is B.