What is this question trying to ask and why is c the correct answer?
2 answers:
Answer: (C) 1
<u>Step-by-step explanation:</u>
The question is asking which y-value are not represented in the graph. IN other words, they are asking for which values are not included in the range.
You can do this by graphing the equations:
y = x + 2 for x ≥ 0 has a y-intercept of +2 with y-values increasing
<em>Note: +2 is included so has an closed dot</em> y = x - 2 for x < 0 has a y-intercept of -2 with y-values decreasing
<em>Note: -2 is not included so has an open dot</em> Therefore, there are no y-values between +2 and -2 (including -2). The only option provided between these values is 1, which is option C.
Step-by-step explanation:
The given function is an increasing piecewise function with a jump at x=0 from
f(0-) = -2 to f(0)=+2.
Hence values of f(x) in the interval (-2,+2] cannot be achieved, since
for all x<0, f(x)<-2, and
for all x>=0, f(x)>= +2.
See attached graph for visual explanation.
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