Question

Which graph represents the piecewise function y = {x + 3 if x < 0, 2x if x ≥ 0?

a) Graph A
b) Graph B
c) Graph C
d) Graph D

Answer 1

d) Graph D. The correct graph that represents the piecewise function y = {x + 3 if x < 0, 2x if x ≥ 0} is Graph D.

Step-by-step explanation:

The correct graph that represents the piecewise function y = {x + 3 if x < 0, 2x if x ≥ 0} is Graph D.

In Graph D, Part A begins with a nonzero y-intercept with an upward slope that levels off at zero, and Part B begins at zero with an upward slope that increases in magnitude until it becomes a positive constant.

This matches the description of the piecewise function given, where the first part has a positive slope and the second part has a constant slope.