Q:

Which graph represents the function over the interval [−3,3] ?f(x)=⌈x+1⌉

Accepted Solution

A:
Answer: The correct graph is the bottom left graph.Step-by-step explanation:Given function is f(x)=ceil(x+1)To plot graph of f(x) in interval of(-3,3) :ceil(x+1) is ceiling function The output of ceil(x) is least integer greater than xfor example ceil(5.5)=6For an interval of (-3,-2):Take x=(-2.4)x+1=(-1.4)y=f(x)=ceil(x+1)=(-1)Similarly, For an interval of (-2,-1):Take x=(-1.4)x+1=(-0.4)y=f(x)=ceil(x+1)=(0)For an interval of (-1,0)y=f(x)=1For an interval of (0,1)y=f(x)=2For an interval of (1,2)y=f(x)=3For an interval of (2,3)y=f(x)=4Thus, The correct graph is the bottom left graph.