# Interpreting Functions

## Domain and Range

Directions: Create 3 lines that have the same domain. Then, create 3 more lines that have the same range. Source: Dane Ehlert

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create three equations that produce the exact same parabola. Source: Zack Miller

## Line Builders

Directions: Complete the table & graph below or here on Desmos to create a linear relation. Find the equation of the linear relation. Fill in the table again and again to create as many different linear relations as you can. What do the graphs have in common? What do the equations have in common? Source: Jon Orr

## Create a Quadratic Equation, Given Constraints

Directions: Write a quadratic equation that has a y-intercept of 24 and the distance between the x-intercepts is 10. Bonus: find more than 2 quadratic equations. Source: Daniel Luevanos

## Quadratics with Defined Roots in Standard Form

Directions: Create three equations for quadratics in standard form that have roots at 3 and 5. Source: Robert Kaplinsky

## Quadratics with Defined Roots in Vertex Form

Directions: Create three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values. Source: Robert Kaplinsky