What is a zero of a function?

1 Answer
Massimiliano
Jan 27, 2015

A zero of a function is an interception between the function itself and the X-axis.
The possibilities are:

  • no zero (e.g. y=x^2+1y=x2+1) graph{x^2 +1 [-10, 10, -5, 5]}
  • one zero (e.g. y=xy=x) graph{x [-10, 10, -5, 5]}
  • two or more zeros (e.g. y=x^2-1y=x2−1) graph{x^2-1 [-10, 10, -5, 5]}
  • infinite zeros (e.g. y=sinxy=sinx) graph{sinx [-10, 10, -5, 5]}

To find the eventual zeros of a function it is necessary to solve the equation system between the equation of the function and the equation of the X-axis (y=0y=0).

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