Interpreting Functions

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create three quadratic equations: one with two imaginary solutions, one with one real solution, and one with two real (rational or irrational) solutions. Source: Ryan D. Fox

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box to make the equations true. Source: Owen Kaplinsky

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make the statements true. Source: Dana Harrington

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create three different linear equations whose y-intercepts have integer values. Source: Michelle Kovesi and Harold Jacobs

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a function with the corresponding range and roots. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a function with the corresponding range and roots that are as close together as possible. The closest the two roots can be to each other that has been found so far is 2 from the equation: y = 1x^2 + …

Directions: Using the integers -9 to 9, at most two times each, place an integer in each box to create a polynomial function with matching roots that have the least range possible. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9, at most two times each, place an integer in each box to create a polynomial function with matching roots. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a logarithmic function with the greatest possible y-intercept. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box and create a logarithmic function with its corresponding y-intercept. Source: Robert Kaplinsky