Finding Zeros of Quadratic Functions with Tables of Values

This lesson teaches how to find zeros of quadratic functions by examining tables of values. It uses examples involving a toy rocket, a soccer ball, a rocket launched from a building, and a baseball to illustrate the concept. The lesson emphasizes the importance of considering the domain of the function and understanding the context of the problem to accurately determine when an object hits the ground. By the end, students should be able to identify zeros of functions using tables and understand the significance of domain in these calculations.

What is the x-intercept of a function?

• A point where the graph is at its minimum

• A point where the graph is at its maximum

• A point where the graph crosses the x-axis

• A point where the graph crosses the y-axis

When does the toy rocket hit the ground again after launch?

• At 0 seconds

• At 8 seconds

• At 10 seconds

• At 4 seconds

At what time does the soccer ball hit the ground after being kicked?

• At 0 seconds

• At 1 second

• At 2 seconds

• At 3 seconds

Why is the point (0,0) not a solution for the rocket launched from a building?

• The rocket starts at the ground

• The rocket never hits the ground

• The rocket starts at a height of 0 feet

• The rocket starts at a height of 24 feet

What is the domain of the function for the rocket launched from a building?

• All integers

• All real numbers greater than or equal to 0

• All real numbers less than 0

• All real numbers

When does the baseball hit the ground after being thrown?

• At 0 seconds

• At 2 seconds

• At 4 seconds

• At 8 seconds

Why is it important to consider the context of a problem when finding zeros?

• To find the maximum height

• To ensure the solution is within the domain

• To calculate the distance traveled

• To determine the speed of the object