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High School: Functions

Creating Sequences

Directions: Using the digits 0-9, at most one time each, complete the first three terms of the arithmetic and geometric sequences. What sequences result in the greatest sum of their second terms? (e.g. 3, 5, 7 and 2, 6, 18 would result in a sum of 5 + 6 = 11). What sequences result in the least sum of their …

Directions: Use the digits 1 through 9, at most one time each, to fill in the boxes and make THREE true number sentences: Source: Zack Miller

Discriminant

Directions: Using the whole numbers 0 through 9, no more than once, fill in the following boxes to make one function have no real roots, another function to have one real root and the last function have two real roots. Source: Lynda Chung

Sine Functions 2

Directions: Use the digits 1 to 9, at most one time each, to find the function’s greatest possible value. Source: Robert Kaplinsky

Sine Functions

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes and make two true number sentences. Source: Robert Kaplinsky

Trigonometric Equation

Directions: Use the numbers 1 – 9, without repetition, to fill in the blanks and make the trigonometric equation below true: Source: Kevin Rees

Logarithm Laws 2

Directions: Using the numbers 0 – 9, fill the blanks, so that the values of each expression increases from smallest to greatest. Each number may only be used once. Source: John Rowe

Solving Trigonometric Equations

Directions: Using the digits 1 to 9, at most one time each, find the equation whose solution is the largest value of x (from 0 to 360, or 0 to 2π). Source: Mishaal Surti