Question

Which rules define the function graphed below?

Answer 1

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:

$y = x + 2, 0 \leq x \leq 3$

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 brainly.com/question/27976102

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