Which of the following statements about the graph of a function is true if it is

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Question: Which of the following statements about the graph of a function is true if it is continuous everywhere?

Options:

Correct Answer: It has no breaks or holes.

Solution:

A continuous function has no breaks or holes in its graph.

Which of the following statements about the graph of a function is true if it is continuous everywhere?

Which of the following statements about the graph of a function is true if it is continuous everywhere?

Step 1: Understand what a function is. A function is a relationship where each input has exactly one output.
Step 2: Learn about graphs. A graph is a visual representation of a function, showing how inputs relate to outputs.
Step 3: Know what 'continuous' means. A continuous function means you can draw its graph without lifting your pencil.
Step 4: Identify what breaks or holes in a graph are. Breaks or holes occur when there are jumps or missing points in the graph.
Step 5: Conclude that if a function is continuous everywhere, it means there are no breaks or holes in its graph.

No concepts available.