Identifying Zeros of Functions

This video tutorial introduces the concept of zeros of a function, explaining that zeros are values that make the function equal to zero. The tutorial demonstrates how to find zeros using a graph by identifying the x-intercepts. It provides examples and practice exercises to help viewers understand how to locate zeros visually. The video concludes with a brief mention of other methods to find zeros, encouraging further exploration of the topic.

What is a zero of a function?

• A value that makes the function undefined

• A value that minimizes the function

• A value that maximizes the function

• A value that makes the function equal to zero

How can you identify the zeros of a function on a graph?

• By finding the highest points on the graph

• By finding the lowest points on the graph

• By finding where the function touches the x-axis

• By finding where the function touches the y-axis

What is another term for the zeros of a function?

• Y-intercepts

• Minimum points

• Maximum points

• X-intercepts

In the visual demonstration, how many times does the sample function cross the x-axis?

• Twice

• Four times

• Once

• Three times

What are the zeros of the function in the first practice example?

• X = -6, 4, 8

• X = -6, -4, 8

• X = 6, 4, 8

• X = 6, -4, -8

In the first practice example, at which x-value does the function touch the x-axis?

• X = 8

• All of the above

• X = 4

• X = -6

How many zeros does the function have in the second practice example?

• Four

• Two

• Five

• Three

What are the zeros of the function in the second practice example?

• X = 7, 2, 3, 9

• X = -7, -2, 3, 9

• X = -7, 2, 3, 9

• X = 7, -2, 3, 9

What is the significance of finding zeros of a function?

• They help in finding the minimum points of the function

• They help in understanding where the function crosses the x-axis

• They help in understanding where the function crosses the y-axis

• They help in finding the maximum points of the function

What is the easiest way to find the zeros of a function?

• By solving the function algebraically

• By looking at the graph and identifying the x-intercepts

• By finding the derivative of the function

• By integrating the function