Question

Graph the piecewise function. You must graph on your own and not use a web-based program to graph. f(x)={(1/3 x-1" if " x≤0 -1/2 x+6" if " 0

Answer 1

Explanation:

Here is a graph of the given piecewise function:

Graph of f(x)={(1/3 x-1" if " x≤0 -1/2 x+6" if " 0<x≤6

The graph of the given piecewise function is a straight line with two segments. The first segment, which lies between x = 0 and x = 6, has a slope of -1/2 and a y-intercept of 6. The second segment, which lies between x = 0 and x = -∞, has a slope of 1/3 and a y-intercept of -1.