Math worksheet
Applications of Quadratic Functions
Learning Objectives
· Find the domain and range of a quadratic function
· Determine the maximum and minimum values of quadratic functions
· Find the x- and y-intercepts of a quadratic function
· Use a quadratic function to model projectile motion
Find the domain and range of a quadratic function
1. Identify the domain and range of .
2. Identify the domain and range of
Determine the maximum and minimum values of quadratic functions
3. Determine if the following will have a minimum or a maximum value without solving.
a.
b.
4. Given , find the minimum or the maximum value and determine where it occurs.
5. Given , find the minimum or maximum value and determine where it occurs.
Find the x- and y-intercepts of a quadratic function
6. Find x- and y-intercepts of a quadratic function .
7. Find x- and y-intercepts of a quadratic function .
Use a quadratic function to model projectile motion
8. A ball is thrown upward and outward from a height of 6 feet. The height of the ball, , in feet, can be modeled by , where is the ball’s horizontal distance, in feet, from where it was thrown.
a. What is the maximum height of the ball and how far from where the ball is thrown does it occur?
b. How far does the ball travel horizontally before hitting the ground? Round to the nearest tenth of a foot.
ANSWER KEY
1. Domain: , Range:
2. Domain: , Range:
3a. Maximum
3b. Minimum
4. Maximum value is and it occurs at
5. Minimum value is and it occurs at
6. x-intercept: . y-intercept:
7. x-intercept: . y-intercept:
8a. Maximum height is 9.2 feet and it occurs 2 feet away from where the ball is thrown.
8b. 5.4
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