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Mathematics Jeopardy… Foundations for Functions Today’s Categories… Terminology Sets of Numbers Square Roots Exponents Relations and Functions Transformations Terms Sets of Numbers Square Roots Exponents Relations & Functions Transformations $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500 Final Jeopardy Terminology - $100 The additive inverse of a number is its what? Opposite Back to Board Terminology - $200 What does the commutative property allow us to do? Rearrange terms when adding or multiplying Back to Board Terminology - $300 Name the order of operations. 1. Parenthesis 2. Exponents 3. Multiplication and Division 4. Addition and Subtraction Back to Board Terminology - $400 What is a relation? A pairing of input values with output values Back to Board Terminology - $500 Which is the dependent variable and why? f x 12 2 x F(x) is because it’s value depends on what x is Back to Board Sets of Numbers - $100 What set of numbers is also known as the counting numbers? The Natural Numbers Back to Board Sets of Numbers - $200 Which set best describes the following numbers? 2 3 15 6 7 0 Rational Numbers Back to Board Sets of Numbers - $300 Which shows the odd numbers 1 through 10 in roster notation? A. {3, 5, 7, 9} B. {1,3,5,7,9} C. {x|1<x<10 and x is odd} D. [1,10] B. {1,3,5,7,9} Back to Board Sets of Numbers - $400 Which shows the correct interval notation for 3<x<7? A. (3,7) C. (3,7] B. [3,7] D. [3,7) A. (3,7) Back to Board Sets of Numbers - $500 Sets can be written in roster notation, interval notation, and what other type? Set-builder Notation Back to Board Square Roots - $100 Round 14 to the nearest whole number. 4 Back to Board Square Roots - $200 18 Simplify. 3 2 Back to Board Square Roots - $300 DAILY DOUBLE!!! Square Roots - $400 3 5 What would I multiply the numerator and denominator by if I wanted to rationalize? 5 Back to Board Square Roots - $500 2 6 24 What would I have to do in order to complete the addition? Rewrite 24 as 2 6 Back to Board Exponents - $100 Solve. 0 58, 423 1 Back to Board Exponents - $200 What is the expanded form of the following? 2 x ( y 1) 2 3 2(x)(x)(y-1)(y-1)(y-1) Back to Board Exponents - $300 Which is the simplified form of the following expression? 2 4x 2 x 2 2 A. 1 2x 6 C. 2 x8 B. 2 x6 D. 4 2x 6 B Back to Board Exponents - $400 Name two of the five properties of exponents. Any of the following: Product of Powers, Quotient of Powers, Power of a Power, Power of a Product, Power of a Quotient Back to Board Exponents - $500 Explain the steps when multiplying these two expressions in scientific notation. 3.47 10 1.9110 6 5 Multiply the numeric parts and the powers of 10 separately. Then simplify. Back to Board Relations & Functions - $100 Is the following a function? Mapping each student to their letter grade in math class. Yes! Back to Board Relations & Functions - $200 Give the domain of the following. Mapping the face numbers on a clock to their corresponding number of seconds D:{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Back to Board Relations & Functions $300 Why is the following not a function? Because the vertical line test fails at x=2 Back to Board Relations and Functions - $400 Give the range of the following. R:{-4, -2, -1, 0, 3} Back to Board Relations & Functions - $500 Explain in words, what a function is. A function is a relation in which the input values are never repeated. Back to Board Transformations - $100 What are the three types of transformations? Translations, Reflections, and Stretches/Compressions Back to Board Transformations - $200 Would a translation 3 units to the left change the x or y coordinate? x Back to Board Transformations - $300 Would a reflection over the x-axis change the x or y coordinate? Y! (because I said so) Back to Board Transformations - $400 Where would the point (3,-6) end up if we reflected it over the x-axis? (3,6) Back to Board Transformations - $500 I want to compress a function vertically by a factor of 1 . 3 If a point started at (6, 9), where would it end? (6, 3) Back to Board Daily Double Specify Your Wager! Square Roots --When Simplifying Square Roots, we use two main properties. Name them. The Product Property of Square Roots and the Quotient Property of Square Roots. Back to Board Final Jeopardy!! Specify your wager! Name 2 real-world situations where we would have to use information from this chapter. Back up your answer.