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# High School: Functions

## Creating Sequences

Directions: Using the digits 1-9, 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 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

## Sine Functions 2

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box 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: Using the digits 1 to 9 at most one time each, place a digit in each box to make the trigonometric equation below true: Source: Kevin Rees

## Logarithm Laws 2

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes so that the values of each expression increases from least 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