which of the functions graphed below is continuous?
which of the functions graphed below is continuous?
Answer
Explanation:
Step1: Recall continuity definition
A function is continuous if there are no breaks, jumps, or holes in its graph.
Step2: Analyze first - graph
The first graph has no visible breaks, jumps, or holes. It is a smooth curve that can be drawn without lifting the pen.
Step3: Analyze second - graph
The second graph has a jump at (x = 2). The function value has a sudden change at this point, so it is not continuous.
Answer:
The first - graphed function is continuous.