contestada

Which graph represents the function? g (x) = StartLayout Enlarged left-brace First row negative x minus 2, x less-than-or-equal-to negative 2 Second row negative x squared, negative 2 less-than x less-than 0 Third row x, x greater-than 0 EndLayout On a coordinate plane, a piecewise function is comprised of a line and curve. The line starts at open circle (negative 2, 0) and goes toward (negative 4, 4). A curve starts at closed circle (negative 2, negative 8) and goes through open circle at (0, 0). The curve continues through (4, 2). On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (negative 2, 0) and goes through (negative 4, 2). A curve starts at an open circle at (negative 2, negative 4) and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4). On a coordinate plane, a piecewise function is comprised of 2 curves and a line. A curve starts at closed circle (negative 2, 0) and curves up through (negative 3, 1). A line starts at open circle (negative 2, negative 2) and goes to closed circle (0, 0). A curve starts at closed circle (0, 0) and increases through (1, 1).

Respuesta :

The graph that represents the piecewise function, g(x) is the option;

  • On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (-2, 0), and goes through (-4, 2). A curve starts at an open circle at (-2, -4), and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4).

How can the correct graph be found from the descriptions?

The piecewise function is presented as follows;

  • g(x) = -x - 2; x ≤ -2
  • g(x) = -x²; -2 < x < 0
  • g(x) = x; x > 0

The graph that represents can be found as follows;

Characteristics of the correct graph

  • There are two lines and a curve
  • The graph starts with a closed circle at (-2, 0)

Slope of the line -x - 2 is -1, therefore as x-values reduces the y-values increases by the same amount, which corresponds with the points (-2, 0), and (-4, 2).

Therefore;

  • The line -x - 2, goes through (-2, 0), and (-4, 2)

The points (-2, -4), and (0, 0) corresponds with a points on the curve g(x) = -x².

Therefore;

  • The curve starts at (-2, -4) and goes through (0, 0) having open circles at both points.

The points (0, 0), and (4, 4), corresponds with points on the line g(x) = x

Therefore;

  • From the open circle at (0, 0) a line goes through the point (4, 4)

The correct option is therefore;

  • On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (-2, 0), and goes through (-4, 2). A curve starts at an open circle at (-2, -4), and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4).

Learn more about the graphs of functions here:

https://brainly.com/question/15367441

#SPJ1

Otras preguntas