Zero of a function

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/zero-of-a-function

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the related mathematical fields?Calculus (critical points, extrema), numerical analysis (root-finding algorithms), algebra (solving equations)
2. Why are zeros also called roots?Zeros are called roots because they are the values that make the equation f(x)=0 true, just like roots grow from the ground.
3. How do we find the zeros of a simple polynomial like x²-5x+6?We factor it into (x-2)(x-3) and set each factor to zero, giving the zeros 2 and 3.

Domain: The set of all permissible input values for a function.
Multiplicity (of a root): The number of times a root appears in the factorization of a polynomial.
x-intercept: A point where a graph crosses or touches the x-axis, characterized by a y-coordinate of zero.