The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Equation of piecewise function:
From given graph of function, we have to write function for the domain of [tex]-2\leq x\leq 2[/tex].
It is observed that, in the particular domain graph of function is a straight line, which passes through the points [tex](-2,3)[/tex] and [tex](2,1)[/tex].
Equation of line is,
[tex]y-3=\frac{1-3}{2+2}(x+2) \\\\y-3=-\frac{1}{2} (x+2)\\\\y=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]
The equation of piecewise function is [tex]y=-\frac{1}{2} x+2[/tex]
Learn more about the equation of function here:
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