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+1#) graph{x^2 +1 [-10, 10, -5, 5]}
  • one zero (e.g. #y=x#) graph{x [-10, 10, -5, 5]}
  • two or more zeros (e.g. #y=x^2-1#) graph{x^2-1 [-10, 10, -5, 5]}
  • infinite zeros (e.g. #y=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=0#).

Related questions
See all questions in Zeros
Impact of this question
12598 views around the world
You can reuse this answer
Creative Commons License