Question

Which graph represents the following piecewise defined function? g(x) = 1/2 x +3 , x< -2 g(x) = 2, -2<_ x <_3 g(x) = 2x-3 , x>3

Answer 1

In this question, a piece-wise function is asked to be graphed.

Piece-wise function:

A piece-wise function is a function that has different definitions, depending on the input.

In this question, the function has three different definitions:

When x is less than -2, the definition is:

$g(x) = \frac{x}{2} + 3$

When x is between -2 and 3, inclusive, the function is:

$g(x) = 2$

When x is greater than 3, the definition is:

$g(x) = 2x - 3$

The graphic is given by the image at the end here, with the closed circle indicating the inclusive on the intervals.

For another example of a piece-wise graphic, you can check brainly.com/question/24324639.