In the context of functions, which of the following statements best describes th

Practice Questions

Q1
In the context of functions, which of the following statements best describes the relationship between a function and its graph?
  1. A function can exist without a graph.
  2. A graph can represent multiple functions.
  3. The graph of a function is always linear.
  4. A function is defined only by its graph.

Questions & Step-by-Step Solutions

In the context of functions, which of the following statements best describes the relationship between a function and its graph?
  • Step 1: Understand what a function is. A function is a rule that assigns each input exactly one output.
  • Step 2: Recognize that a graph is a visual representation of a function. It shows how the inputs and outputs relate to each other.
  • Step 3: Realize that a function can be defined using equations or formulas without needing a graph.
  • Step 4: Conclude that while a graph helps visualize a function, the function itself exists independently of its graph.
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