Respuesta :

The piecewise function for the graph is given as [tex]g(x)=\left \{ {{(1/3)x+3\ \ for\ (-\infty,-3)} \atop {6\ \ \ for\ \ (1,\infty)}} \right.[/tex]

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

For (-∞, -3), the line passes through (-9, 0) and (-3, 2), hence:

y - 0 = [(2 - 0)/(-3 - (-9))](x - (-9))

y = (1/3)x + 3

For (1, ∞), y = 6

The piece wise function for the graph is given as      [tex]g(x)=\left \{ {{(1/3)x+3\ \ for\ (-\infty,-3)} \atop {6\ \ \ for\ \ (1,\infty)}} \right.[/tex]

Find out more on equation at: https://brainly.com/question/2972832

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