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Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5

Which rules define the function graphed below 65 4 3 32 02 2 3 35 3211 1 2 3 4 O yx y 5 O y x 2 y 5 O yx x 5 O yx2 x 5 class=

Respuesta :

The rules that define the piecewise function graphed are as follows:

y = x + 2, y = 5.

What is a piecewise function?

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:

m = (5 - 2)/(3 - 0) = 1.

The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:

[tex]y = x + 2, 0 \leq x \leq 3[/tex]

For x greater than 3, the function is constant at y = 5, hence the definition is:

y = 5, x > 3.

Hence, the rules that are used to define the piecewise function graphed are as follows:

y = x + 2, y = 5.

More can be learned about piecewise functions at https://brainly.com/question/27976102

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