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The function g(x) is a discrete function. It is continuous between -7 to -2, -2 to 3, and 3 to 8. And the open circle at -7, -2, 3, and 8. And the jump of the g(x) is 4 units after every interval.
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
[tex]g(x) = \left\{\begin{matrix} \ \ \ \ 6, -7 < x < -2\\\ \ \ 2, -2 < x < 3\\-2, 3 < x < 8\\\end{matrix}\right.[/tex]
The function g(x) is a discrete function. It is continuous between -7 to -2, -2 to 3, and 3 to 8. And the open circle at -7, -2, 3, and 8.
And the jump of the g(x) is 4 units after every interval.
The graph is shown below.
More about the function link is given below.
https://brainly.com/question/5245372
