Graph the following piecewise function: f(x) = { 3x -5 if x ≤ -1 {-2x + 3 if -1 x < 4 { 2 if x ≥ 4 this is in one big bracket.. how do you graph this?

Drawing f(x) = 3x - 5, x ≤ -1  this means the graph of f(x) must only start from when x = -1 and you may draw it to infinite value of x  the inequality sign is  ≤ and this means the graph will have closed circle at the beginning. there's no restriction when it endsdrawing f(x) = -2x + 3, -1 < x < 4this means the graph f(x) must only start from when x = -1 and must end when x = 4the inequality sign is < and this means that the graph will start and end with open circlesdrawing f(x) = 2, x  ≥ 4this means the graph f(x) = 2  must start only at x = 4 and will continue to infinity (no restriction where it's to end)the inequality sign is  ≥ and this means the graph will start with a closed circlethe big bracket means that we need to draw all the three function on the same axes.