The definition of the piece-wise function is:
.
<h3>What is a piece-wise function?</h3>
A piece-wise function is a function that has different definitions, depending on the input.
In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:
m = (6 - (-4))/(2 - (-2)) = 2.5.
The y-intercept is of b = 1, hence the rule is:

For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:
.
More can be learned about piece-wise functions at brainly.com/question/27262465
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Answer:
The sum of 81 is 9*9=81
Step-by-step explanation:
Answer:
y =
x - 2
Step-by-step explanation:
<u>The answer to this problem is a simple plug-in of the given values into the slope-intercept formula.</u>
Slope intercept formula: y = mx + b
(m = slope)
(b = y intercept)
If the equation has a slope of m =
, then the slope-intercept form would be:
y =
x
If the y-intercept of an equation is (0 , -2), then the slope intercept form would be:
y = mx - 2
<u>Putting both of these values into an equation would give option A:</u>
y =
x - 2