Answer:
d.
Step-by-step explanation:
Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.
Right line is defined when x is greater or equal to one x ≥ 1.
Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.
Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.
Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)
You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.
so is the question right?
Answer with Step-by-step explanation:
We are given that

We have to explain that why the function is discontinuous at x=2
We know that if function is continuous at x=a then LHL=RHL=f(a).

LHL=Left hand limit when x <2
Substitute x=2-h
where h is small positive value >0


Right hand limit =RHL when x> 2
Substitute
x=2+h


LHL=RHL=
f(2)=1

Hence, function is discontinuous at x=2
Common factor because its used more than once so its common
1. The correct answer among the choices provided is option C. American expansion abroad was not fueled by the fear of being closed out of Asian markets.
2. The Unites States became an imperial power as a result of the Spanish-American War. It acquired Spanish colonies such as the Philippines, Guam, and Puerto Rico.