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A piecewise linear function is graphed below. (see image)

Fill in all of the blanks to give an algebraic description of the function.

y = ___ for x < ___
___ for ___ ≤ x < ___
___for x ≥ ___

A piecewise linear function is graphed below see image Fill in all of the blanks to give an algebraic description of the function y for x lt for x lt for x class=

Respuesta :

y = 2 for x < 0
    =  x for 0 ≤ x < 3
    = 3 for x ≥ 3

Answer:

Step-by-step explanation:

Given is a piecewise graph

discontinuous at x=0

For all negative x, we have y = constant = 2

Hence I part is

y =2, for x<0

Next part is from x=0 to x=3

Passes through points (0,0) and (3,3)

Hence equation is y =3x for [tex]0\leq x\leq 3[/tex]

For all values of x >3, we have a horizontal line as y = 3

Consolidated together

[tex]y=x, for x<0\\y=3x, for 0\leq <3\\y=3, for x\geq 3[/tex]

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