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Answer:
<h2>D. The two functions have opposite output values of each other for any given input value.</h2>Step-by-step explanation:
The reflect function will have opposite output values than the original one, because reflection across the x-axis means that y-values will be with the opposite sign. All positive y-values in the original function will have negative values in the reflected one, and all negative y-values in the original will have positive values in the reflected.
The opposite values are just seen in the output, because those belong to y-axis, all x-axis values remain the same, which are input values. You can see this in the image attached, look for the horizontal reflection. That mirror effect across the x-axis is because the y-values are opposite.
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Answer:
Second Option: 3, -3
Step-by-step explanation:
In the graph of the supplied function we observe f (x) is a piece wise function composed of two line segments and a point.
if
,
if
,
if
We must find the limit when x approaches 2 from the left
and we must find the limit when x approaches 2 on the right.
when x approaches 2 on the left then . If
then
, therefore the
When x approaches 2 on the right then . If
then
, therefore the
.