What is the significance of the x-intercepts of a function?

Practice Questions

Q1
What is the significance of the x-intercepts of a function?
  1. They indicate the maximum value of the function.
  2. They indicate the minimum value of the function.
  3. They are the points where the function crosses the x-axis.
  4. They are the points where the function is undefined.

Questions & Step-by-Step Solutions

What is the significance of the x-intercepts of a function?
  • Step 1: Understand what a function is. A function takes an input (x) and gives an output (y).
  • Step 2: Know what the x-axis is. The x-axis is the horizontal line on a graph where y equals zero.
  • Step 3: Learn what x-intercepts are. X-intercepts are the points where the graph of the function touches or crosses the x-axis.
  • Step 4: Realize that at the x-intercepts, the output (y) of the function is zero. This means the function equals zero at these points.
  • Step 5: Understand the significance. X-intercepts can help us find solutions to equations and understand the behavior of the function.
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