Interpreting Functions

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create two different quadratic equations that have a root at 4 and a maximum value of 4. You may reuse all the digits for each equation. Source: Robert Kaplinsky in Open Middle Math

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make one function have no real roots, another function have one real root, and the last function have two real roots. Source: Lynda Chung

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes so that the values of the two functions are equivalent Source: Steven Midzak

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create a quadratic in factored form with the lowest minimum. Source: Ryan Kimes

Directions: Using digits 1-9, write an equation of a line in standard form with given x- and y-intercepts. Each number can only be used at most once. Source: Andy Schwen

Directions:  Using the digits 1 through 9, at most one time each, fill in the boxes to create a linear equation that has an x- and y-intercept with integer values. Source: Jeffrey Mashbitz

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

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

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